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Finding the Fourth Proportional to 130.68, 180.17 and 108.57

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Solution

The fourth proportional to 130.68, 180.17 and 108.57 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 180.17 = 108.57 : x
  2. Step 2: Convert to fraction form
    130.68/180.17 = 108.57/x
  3. Step 3: Cross multiply
    130.68x = 180.17 × 108.57
  4. Step 4: Simplify right side
    130.68x = 19,562.00
  5. Step 5: Solve for x
    x = 19,562.00/130.68
  6. Step 6: Final answer
    x = 149.69

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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.