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Finding the Fourth Proportional to 122.46, 183.02 and 99.66

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Solution

The fourth proportional to 122.46, 183.02 and 99.66 is: 148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 183.02 = 99.66 : x
  2. Step 2: Convert to fraction form
    122.46/183.02 = 99.66/x
  3. Step 3: Cross multiply
    122.46x = 183.02 × 99.66
  4. Step 4: Simplify right side
    122.46x = 18,239.96
  5. Step 5: Solve for x
    x = 18,239.96/122.46
  6. Step 6: Final answer
    x = 148.94

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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.