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Finding the Fourth Proportional to 83.03, 124.44 and 37.28

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Solution

The fourth proportional to 83.03, 124.44 and 37.28 is: 55.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.03 : 124.44 = 37.28 : x
  2. Step 2: Convert to fraction form
    83.03/124.44 = 37.28/x
  3. Step 3: Cross multiply
    83.03x = 124.44 × 37.28
  4. Step 4: Simplify right side
    83.03x = 4,638.31
  5. Step 5: Solve for x
    x = 4,638.31/83.03
  6. Step 6: Final answer
    x = 55.87

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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.