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Finding the Fourth Proportional to 424.78, 586.16 and 235.71

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Solution

The fourth proportional to 424.78, 586.16 and 235.71 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.78 : 586.16 = 235.71 : x
  2. Step 2: Convert to fraction form
    424.78/586.16 = 235.71/x
  3. Step 3: Cross multiply
    424.78x = 586.16 × 235.71
  4. Step 4: Simplify right side
    424.78x = 138,160.84
  5. Step 5: Solve for x
    x = 138,160.84/424.78
  6. Step 6: Final answer
    x = 325.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.