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Finding the Fourth Proportional to 65.38, 98.08 and 31.14

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Solution

The fourth proportional to 65.38, 98.08 and 31.14 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 98.08 = 31.14 : x
  2. Step 2: Convert to fraction form
    65.38/98.08 = 31.14/x
  3. Step 3: Cross multiply
    65.38x = 98.08 × 31.14
  4. Step 4: Simplify right side
    65.38x = 3,054.21
  5. Step 5: Solve for x
    x = 3,054.21/65.38
  6. Step 6: Final answer
    x = 46.71

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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.