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Finding the Fourth Proportional to 56.97, 85.46 and 32.91

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Solution

The fourth proportional to 56.97, 85.46 and 32.91 is: 49.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.97 : 85.46 = 32.91 : x
  2. Step 2: Convert to fraction form
    56.97/85.46 = 32.91/x
  3. Step 3: Cross multiply
    56.97x = 85.46 × 32.91
  4. Step 4: Simplify right side
    56.97x = 2,812.00
  5. Step 5: Solve for x
    x = 2,812.00/56.97
  6. Step 6: Final answer
    x = 49.36

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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.