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Finding the Fourth Proportional to 438.12, 657.20 and 129.96

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Solution

The fourth proportional to 438.12, 657.20 and 129.96 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 657.20 = 129.96 : x
  2. Step 2: Convert to fraction form
    438.12/657.20 = 129.96/x
  3. Step 3: Cross multiply
    438.12x = 657.20 × 129.96
  4. Step 4: Simplify right side
    438.12x = 85,409.71
  5. Step 5: Solve for x
    x = 85,409.71/438.12
  6. Step 6: Final answer
    x = 194.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.