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Finding the Fourth Proportional to 407.35, 562.13 and 232.69

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Solution

The fourth proportional to 407.35, 562.13 and 232.69 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.35 : 562.13 = 232.69 : x
  2. Step 2: Convert to fraction form
    407.35/562.13 = 232.69/x
  3. Step 3: Cross multiply
    407.35x = 562.13 × 232.69
  4. Step 4: Simplify right side
    407.35x = 130,801.21
  5. Step 5: Solve for x
    x = 130,801.21/407.35
  6. Step 6: Final answer
    x = 321.10

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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.