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Finding the Fourth Proportional to 130.67, 180.12 and 97.41

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Solution

The fourth proportional to 130.67, 180.12 and 97.41 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 180.12 = 97.41 : x
  2. Step 2: Convert to fraction form
    130.67/180.12 = 97.41/x
  3. Step 3: Cross multiply
    130.67x = 180.12 × 97.41
  4. Step 4: Simplify right side
    130.67x = 17,545.49
  5. Step 5: Solve for x
    x = 17,545.49/130.67
  6. Step 6: Final answer
    x = 134.28

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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.