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Finding the Fourth Proportional to 65.68, 98.01 and 61.43

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Solution

The fourth proportional to 65.68, 98.01 and 61.43 is: 91.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 98.01 = 61.43 : x
  2. Step 2: Convert to fraction form
    65.68/98.01 = 61.43/x
  3. Step 3: Cross multiply
    65.68x = 98.01 × 61.43
  4. Step 4: Simplify right side
    65.68x = 6,020.26
  5. Step 5: Solve for x
    x = 6,020.26/65.68
  6. Step 6: Final answer
    x = 91.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.