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Finding the Fourth Proportional to 31.17, 46.85 and 20.55

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Solution

The fourth proportional to 31.17, 46.85 and 20.55 is: 30.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.17 : 46.85 = 20.55 : x
  2. Step 2: Convert to fraction form
    31.17/46.85 = 20.55/x
  3. Step 3: Cross multiply
    31.17x = 46.85 × 20.55
  4. Step 4: Simplify right side
    31.17x = 962.77
  5. Step 5: Solve for x
    x = 962.77/31.17
  6. Step 6: Final answer
    x = 30.89

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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.