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Finding the Fourth Proportional to 53.89, 80.42 and 50.47

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Solution

The fourth proportional to 53.89, 80.42 and 50.47 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.89 : 80.42 = 50.47 : x
  2. Step 2: Convert to fraction form
    53.89/80.42 = 50.47/x
  3. Step 3: Cross multiply
    53.89x = 80.42 × 50.47
  4. Step 4: Simplify right side
    53.89x = 4,058.80
  5. Step 5: Solve for x
    x = 4,058.80/53.89
  6. Step 6: Final answer
    x = 75.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.