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Finding the Fourth Proportional to 122.01, 182.61 and 99.24

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Solution

The fourth proportional to 122.01, 182.61 and 99.24 is: 148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 182.61 = 99.24 : x
  2. Step 2: Convert to fraction form
    122.01/182.61 = 99.24/x
  3. Step 3: Cross multiply
    122.01x = 182.61 × 99.24
  4. Step 4: Simplify right side
    122.01x = 18,122.22
  5. Step 5: Solve for x
    x = 18,122.22/122.01
  6. Step 6: Final answer
    x = 148.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.