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Finding the Fourth Proportional to 128.84, 193.22 and 77.48

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Solution

The fourth proportional to 128.84, 193.22 and 77.48 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.84 : 193.22 = 77.48 : x
  2. Step 2: Convert to fraction form
    128.84/193.22 = 77.48/x
  3. Step 3: Cross multiply
    128.84x = 193.22 × 77.48
  4. Step 4: Simplify right side
    128.84x = 14,970.69
  5. Step 5: Solve for x
    x = 14,970.69/128.84
  6. Step 6: Final answer
    x = 116.20

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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.