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Finding the Fourth Proportional to 128.82, 193.28 and 77.50

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Solution

The fourth proportional to 128.82, 193.28 and 77.50 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 193.28 = 77.50 : x
  2. Step 2: Convert to fraction form
    128.82/193.28 = 77.50/x
  3. Step 3: Cross multiply
    128.82x = 193.28 × 77.50
  4. Step 4: Simplify right side
    128.82x = 14,979.13
  5. Step 5: Solve for x
    x = 14,979.13/128.82
  6. Step 6: Final answer
    x = 116.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.