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Finding the Fourth Proportional to 129.76, 193.73 and 114.64

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Solution

The fourth proportional to 129.76, 193.73 and 114.64 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.76 : 193.73 = 114.64 : x
  2. Step 2: Convert to fraction form
    129.76/193.73 = 114.64/x
  3. Step 3: Cross multiply
    129.76x = 193.73 × 114.64
  4. Step 4: Simplify right side
    129.76x = 22,209.21
  5. Step 5: Solve for x
    x = 22,209.21/129.76
  6. Step 6: Final answer
    x = 171.16

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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.