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Finding the Fourth Proportional to 411.39, 614.14 and 381.39

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Solution

The fourth proportional to 411.39, 614.14 and 381.39 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 614.14 = 381.39 : x
  2. Step 2: Convert to fraction form
    411.39/614.14 = 381.39/x
  3. Step 3: Cross multiply
    411.39x = 614.14 × 381.39
  4. Step 4: Simplify right side
    411.39x = 234,225.90
  5. Step 5: Solve for x
    x = 234,225.90/411.39
  6. Step 6: Final answer
    x = 569.35

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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.