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Finding the Fourth Proportional to 99.29, 149.63 and 94.66

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Solution

The fourth proportional to 99.29, 149.63 and 94.66 is: 142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 149.63 = 94.66 : x
  2. Step 2: Convert to fraction form
    99.29/149.63 = 94.66/x
  3. Step 3: Cross multiply
    99.29x = 149.63 × 94.66
  4. Step 4: Simplify right side
    99.29x = 14,163.48
  5. Step 5: Solve for x
    x = 14,163.48/99.29
  6. Step 6: Final answer
    x = 142.65

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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.