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Finding the Fourth Proportional to 424.72, 586.12 and 247.60

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Solution

The fourth proportional to 424.72, 586.12 and 247.60 is: 341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.72 : 586.12 = 247.60 : x
  2. Step 2: Convert to fraction form
    424.72/586.12 = 247.60/x
  3. Step 3: Cross multiply
    424.72x = 586.12 × 247.60
  4. Step 4: Simplify right side
    424.72x = 145,123.31
  5. Step 5: Solve for x
    x = 145,123.31/424.72
  6. Step 6: Final answer
    x = 341.69

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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.