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Finding the Fourth Proportional to 145.92, 217.68 and 129.72

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Solution

The fourth proportional to 145.92, 217.68 and 129.72 is: 193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.92 : 217.68 = 129.72 : x
  2. Step 2: Convert to fraction form
    145.92/217.68 = 129.72/x
  3. Step 3: Cross multiply
    145.92x = 217.68 × 129.72
  4. Step 4: Simplify right side
    145.92x = 28,237.45
  5. Step 5: Solve for x
    x = 28,237.45/145.92
  6. Step 6: Final answer
    x = 193.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.