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Finding the Fourth Proportional to 53.71, 80.16 and 45.43

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Solution

The fourth proportional to 53.71, 80.16 and 45.43 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.71 : 80.16 = 45.43 : x
  2. Step 2: Convert to fraction form
    53.71/80.16 = 45.43/x
  3. Step 3: Cross multiply
    53.71x = 80.16 × 45.43
  4. Step 4: Simplify right side
    53.71x = 3,641.67
  5. Step 5: Solve for x
    x = 3,641.67/53.71
  6. Step 6: Final answer
    x = 67.80

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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.