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Finding the Fourth Proportional to 63.21, 94.85 and 31.15

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Solution

The fourth proportional to 63.21, 94.85 and 31.15 is: 46.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.21 : 94.85 = 31.15 : x
  2. Step 2: Convert to fraction form
    63.21/94.85 = 31.15/x
  3. Step 3: Cross multiply
    63.21x = 94.85 × 31.15
  4. Step 4: Simplify right side
    63.21x = 2,954.77
  5. Step 5: Solve for x
    x = 2,954.77/63.21
  6. Step 6: Final answer
    x = 46.74

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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.