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Finding the Fourth Proportional to 94.67, 130.24 and 72.80

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Solution

The fourth proportional to 94.67, 130.24 and 72.80 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.67 : 130.24 = 72.80 : x
  2. Step 2: Convert to fraction form
    94.67/130.24 = 72.80/x
  3. Step 3: Cross multiply
    94.67x = 130.24 × 72.80
  4. Step 4: Simplify right side
    94.67x = 9,481.47
  5. Step 5: Solve for x
    x = 9,481.47/94.67
  6. Step 6: Final answer
    x = 100.15

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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.