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Finding the Fourth Proportional to 65.25, 98.02 and 42.46

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Solution

The fourth proportional to 65.25, 98.02 and 42.46 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 98.02 = 42.46 : x
  2. Step 2: Convert to fraction form
    65.25/98.02 = 42.46/x
  3. Step 3: Cross multiply
    65.25x = 98.02 × 42.46
  4. Step 4: Simplify right side
    65.25x = 4,161.93
  5. Step 5: Solve for x
    x = 4,161.93/65.25
  6. Step 6: Final answer
    x = 63.78

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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.