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Finding the Fourth Proportional to 541.40, 810.62 and 280.85

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Solution

The fourth proportional to 541.40, 810.62 and 280.85 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 810.62 = 280.85 : x
  2. Step 2: Convert to fraction form
    541.40/810.62 = 280.85/x
  3. Step 3: Cross multiply
    541.40x = 810.62 × 280.85
  4. Step 4: Simplify right side
    541.40x = 227,663.25
  5. Step 5: Solve for x
    x = 227,663.25/541.40
  6. Step 6: Final answer
    x = 420.51

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Double scale
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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.