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Finding the Fourth Proportional to 407.47, 562.31 and 232.81

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Solution

The fourth proportional to 407.47, 562.31 and 232.81 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 562.31 = 232.81 : x
  2. Step 2: Convert to fraction form
    407.47/562.31 = 232.81/x
  3. Step 3: Cross multiply
    407.47x = 562.31 × 232.81
  4. Step 4: Simplify right side
    407.47x = 130,913.38
  5. Step 5: Solve for x
    x = 130,913.38/407.47
  6. Step 6: Final answer
    x = 321.28

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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.