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Finding the Fourth Proportional to 407.19, 562.02 and 232.64

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Solution

The fourth proportional to 407.19, 562.02 and 232.64 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 562.02 = 232.64 : x
  2. Step 2: Convert to fraction form
    407.19/562.02 = 232.64/x
  3. Step 3: Cross multiply
    407.19x = 562.02 × 232.64
  4. Step 4: Simplify right side
    407.19x = 130,745.52
  5. Step 5: Solve for x
    x = 130,745.52/407.19
  6. Step 6: Final answer
    x = 321.09

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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.