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Finding the Fourth Proportional to 65.46, 97.66 and 65

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Solution

The fourth proportional to 65.46, 97.66 and 65 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 97.66 = 65 : x
  2. Step 2: Convert to fraction form
    65.46/97.66 = 65/x
  3. Step 3: Cross multiply
    65.46x = 97.66 × 65
  4. Step 4: Simplify right side
    65.46x = 6,347.90
  5. Step 5: Solve for x
    x = 6,347.90/65.46
  6. Step 6: Final answer
    x = 96.97

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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.