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Finding the Fourth Proportional to 549.86, 824.36 and 275.81

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Solution

The fourth proportional to 549.86, 824.36 and 275.81 is: 413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 824.36 = 275.81 : x
  2. Step 2: Convert to fraction form
    549.86/824.36 = 275.81/x
  3. Step 3: Cross multiply
    549.86x = 824.36 × 275.81
  4. Step 4: Simplify right side
    549.86x = 227,366.73
  5. Step 5: Solve for x
    x = 227,366.73/549.86
  6. Step 6: Final answer
    x = 413.50

Related Problems

Find fourth proportional to 274.93, 412.18 and 137.91
Half scale
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Double scale
Find fourth proportional to 550.86, 825.86 and 276.81
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.