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Finding the Fourth Proportional to 53.90, 80.72 and 49.88

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Solution

The fourth proportional to 53.90, 80.72 and 49.88 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.90 : 80.72 = 49.88 : x
  2. Step 2: Convert to fraction form
    53.90/80.72 = 49.88/x
  3. Step 3: Cross multiply
    53.90x = 80.72 × 49.88
  4. Step 4: Simplify right side
    53.90x = 4,026.31
  5. Step 5: Solve for x
    x = 4,026.31/53.90
  6. Step 6: Final answer
    x = 74.70

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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.