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Finding the Fourth Proportional to 130.67, 180.10 and 115.59

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Solution

The fourth proportional to 130.67, 180.10 and 115.59 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 180.10 = 115.59 : x
  2. Step 2: Convert to fraction form
    130.67/180.10 = 115.59/x
  3. Step 3: Cross multiply
    130.67x = 180.10 × 115.59
  4. Step 4: Simplify right side
    130.67x = 20,816.57
  5. Step 5: Solve for x
    x = 20,816.57/130.67
  6. Step 6: Final answer
    x = 159.30

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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.