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Finding the Fourth Proportional to 407.31, 562.09 and 232.66

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Solution

The fourth proportional to 407.31, 562.09 and 232.66 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.31 : 562.09 = 232.66 : x
  2. Step 2: Convert to fraction form
    407.31/562.09 = 232.66/x
  3. Step 3: Cross multiply
    407.31x = 562.09 × 232.66
  4. Step 4: Simplify right side
    407.31x = 130,775.86
  5. Step 5: Solve for x
    x = 130,775.86/407.31
  6. Step 6: Final answer
    x = 321.07

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