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Finding the Fourth Proportional to 130.32, 194.00 and 129.62

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Solution

The fourth proportional to 130.32, 194.00 and 129.62 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 194.00 = 129.62 : x
  2. Step 2: Convert to fraction form
    130.32/194.00 = 129.62/x
  3. Step 3: Cross multiply
    130.32x = 194.00 × 129.62
  4. Step 4: Simplify right side
    130.32x = 25,146.12
  5. Step 5: Solve for x
    x = 25,146.12/130.32
  6. Step 6: Final answer
    x = 192.96

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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.