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Finding the Fourth Proportional to 83.88, 126.02 and 53.50

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Solution

The fourth proportional to 83.88, 126.02 and 53.50 is: 80.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.88 : 126.02 = 53.50 : x
  2. Step 2: Convert to fraction form
    83.88/126.02 = 53.50/x
  3. Step 3: Cross multiply
    83.88x = 126.02 × 53.50
  4. Step 4: Simplify right side
    83.88x = 6,742.39
  5. Step 5: Solve for x
    x = 6,742.39/83.88
  6. Step 6: Final answer
    x = 80.38

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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.