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Finding the Fourth Proportional to 65.61, 97.98 and 61.82

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Solution

The fourth proportional to 65.61, 97.98 and 61.82 is: 92.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.61 : 97.98 = 61.82 : x
  2. Step 2: Convert to fraction form
    65.61/97.98 = 61.82/x
  3. Step 3: Cross multiply
    65.61x = 97.98 × 61.82
  4. Step 4: Simplify right side
    65.61x = 6,057.03
  5. Step 5: Solve for x
    x = 6,057.03/65.61
  6. Step 6: Final answer
    x = 92.32

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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.