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Finding the Fourth Proportional to 129.95, 193.70 and 126.30

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Solution

The fourth proportional to 129.95, 193.70 and 126.30 is: 188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.95 : 193.70 = 126.30 : x
  2. Step 2: Convert to fraction form
    129.95/193.70 = 126.30/x
  3. Step 3: Cross multiply
    129.95x = 193.70 × 126.30
  4. Step 4: Simplify right side
    129.95x = 24,463.68
  5. Step 5: Solve for x
    x = 24,463.68/129.95
  6. Step 6: Final answer
    x = 188.26

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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.