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Finding the Fourth Proportional to 87.48, 130.67 and 74.58

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Solution

The fourth proportional to 87.48, 130.67 and 74.58 is: 111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.48 : 130.67 = 74.58 : x
  2. Step 2: Convert to fraction form
    87.48/130.67 = 74.58/x
  3. Step 3: Cross multiply
    87.48x = 130.67 × 74.58
  4. Step 4: Simplify right side
    87.48x = 9,745.37
  5. Step 5: Solve for x
    x = 9,745.37/87.48
  6. Step 6: Final answer
    x = 111.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.