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Finding the Fourth Proportional to 83.46, 115.05 and 65

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Solution

The fourth proportional to 83.46, 115.05 and 65 is: 89.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.46 : 115.05 = 65 : x
  2. Step 2: Convert to fraction form
    83.46/115.05 = 65/x
  3. Step 3: Cross multiply
    83.46x = 115.05 × 65
  4. Step 4: Simplify right side
    83.46x = 7,477.93
  5. Step 5: Solve for x
    x = 7,477.93/83.46
  6. Step 6: Final answer
    x = 89.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.