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Finding the Fourth Proportional to 65.68, 98.28 and 38.48

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Solution

The fourth proportional to 65.68, 98.28 and 38.48 is: 57.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 98.28 = 38.48 : x
  2. Step 2: Convert to fraction form
    65.68/98.28 = 38.48/x
  3. Step 3: Cross multiply
    65.68x = 98.28 × 38.48
  4. Step 4: Simplify right side
    65.68x = 3,781.32
  5. Step 5: Solve for x
    x = 3,781.32/65.68
  6. Step 6: Final answer
    x = 57.57

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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.