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Finding the Fourth Proportional to 55.91, 83.88 and 31.55

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Solution

The fourth proportional to 55.91, 83.88 and 31.55 is: 47.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.91 : 83.88 = 31.55 : x
  2. Step 2: Convert to fraction form
    55.91/83.88 = 31.55/x
  3. Step 3: Cross multiply
    55.91x = 83.88 × 31.55
  4. Step 4: Simplify right side
    55.91x = 2,645.99
  5. Step 5: Solve for x
    x = 2,645.99/55.91
  6. Step 6: Final answer
    x = 47.32

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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.