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Finding the Fourth Proportional to 134.87, 185.68 and 128.03

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Solution

The fourth proportional to 134.87, 185.68 and 128.03 is: 176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.87 : 185.68 = 128.03 : x
  2. Step 2: Convert to fraction form
    134.87/185.68 = 128.03/x
  3. Step 3: Cross multiply
    134.87x = 185.68 × 128.03
  4. Step 4: Simplify right side
    134.87x = 23,772.61
  5. Step 5: Solve for x
    x = 23,772.61/134.87
  6. Step 6: Final answer
    x = 176.26

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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.