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Finding the Fourth Proportional to 411.38, 614.35 and 366.02

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Solution

The fourth proportional to 411.38, 614.35 and 366.02 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 614.35 = 366.02 : x
  2. Step 2: Convert to fraction form
    411.38/614.35 = 366.02/x
  3. Step 3: Cross multiply
    411.38x = 614.35 × 366.02
  4. Step 4: Simplify right side
    411.38x = 224,861.32
  5. Step 5: Solve for x
    x = 224,861.32/411.38
  6. Step 6: Final answer
    x = 546.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.