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Finding the Fourth Proportional to 549.30, 823.31 and 275.60

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Solution

The fourth proportional to 549.30, 823.31 and 275.60 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.30 : 823.31 = 275.60 : x
  2. Step 2: Convert to fraction form
    549.30/823.31 = 275.60/x
  3. Step 3: Cross multiply
    549.30x = 823.31 × 275.60
  4. Step 4: Simplify right side
    549.30x = 226,900.81
  5. Step 5: Solve for x
    x = 226,900.81/549.30
  6. Step 6: Final answer
    x = 413.07

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Double scale
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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.