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Finding the Fourth Proportional to 63.96, 95.85 and 31.40

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Solution

The fourth proportional to 63.96, 95.85 and 31.40 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.96 : 95.85 = 31.40 : x
  2. Step 2: Convert to fraction form
    63.96/95.85 = 31.40/x
  3. Step 3: Cross multiply
    63.96x = 95.85 × 31.40
  4. Step 4: Simplify right side
    63.96x = 3,009.21
  5. Step 5: Solve for x
    x = 3,009.21/63.96
  6. Step 6: Final answer
    x = 47.05

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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.