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Finding the Fourth Proportional to 89.46, 123.30 and 69.80

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Solution

The fourth proportional to 89.46, 123.30 and 69.80 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.46 : 123.30 = 69.80 : x
  2. Step 2: Convert to fraction form
    89.46/123.30 = 69.80/x
  3. Step 3: Cross multiply
    89.46x = 123.30 × 69.80
  4. Step 4: Simplify right side
    89.46x = 8,605.72
  5. Step 5: Solve for x
    x = 8,605.72/89.46
  6. Step 6: Final answer
    x = 96.20

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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.