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Finding the Fourth Proportional to 99.65, 150.23 and 92.69

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Solution

The fourth proportional to 99.65, 150.23 and 92.69 is: 139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 150.23 = 92.69 : x
  2. Step 2: Convert to fraction form
    99.65/150.23 = 92.69/x
  3. Step 3: Cross multiply
    99.65x = 150.23 × 92.69
  4. Step 4: Simplify right side
    99.65x = 13,923.60
  5. Step 5: Solve for x
    x = 13,923.60/99.65
  6. Step 6: Final answer
    x = 139.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.