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Finding the Fourth Proportional to 284.31, 424.07 and 265.17

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Solution

The fourth proportional to 284.31, 424.07 and 265.17 is: 395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 424.07 = 265.17 : x
  2. Step 2: Convert to fraction form
    284.31/424.07 = 265.17/x
  3. Step 3: Cross multiply
    284.31x = 424.07 × 265.17
  4. Step 4: Simplify right side
    284.31x = 112,450.64
  5. Step 5: Solve for x
    x = 112,450.64/284.31
  6. Step 6: Final answer
    x = 395.53

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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.