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Finding the Fourth Proportional to 407.50, 562.38 and 232.90

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Solution

The fourth proportional to 407.50, 562.38 and 232.90 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 562.38 = 232.90 : x
  2. Step 2: Convert to fraction form
    407.50/562.38 = 232.90/x
  3. Step 3: Cross multiply
    407.50x = 562.38 × 232.90
  4. Step 4: Simplify right side
    407.50x = 130,978.30
  5. Step 5: Solve for x
    x = 130,978.30/407.50
  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.