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Finding the Fourth Proportional to 130.43, 180.00 and 129.01

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Solution

The fourth proportional to 130.43, 180.00 and 129.01 is: 178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.43 : 180.00 = 129.01 : x
  2. Step 2: Convert to fraction form
    130.43/180.00 = 129.01/x
  3. Step 3: Cross multiply
    130.43x = 180.00 × 129.01
  4. Step 4: Simplify right side
    130.43x = 23,221.32
  5. Step 5: Solve for x
    x = 23,221.32/130.43
  6. Step 6: Final answer
    x = 178.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.