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Finding the Fourth Proportional to 407.60, 562.50 and 232.91

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Solution

The fourth proportional to 407.60, 562.50 and 232.91 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 562.50 = 232.91 : x
  2. Step 2: Convert to fraction form
    407.60/562.50 = 232.91/x
  3. Step 3: Cross multiply
    407.60x = 562.50 × 232.91
  4. Step 4: Simplify right side
    407.60x = 131,010.71
  5. Step 5: Solve for x
    x = 131,010.71/407.60
  6. Step 6: Final answer
    x = 321.42

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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.