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Finding the Fourth Proportional to 149.56, 206.04 and 142.24

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Solution

The fourth proportional to 149.56, 206.04 and 142.24 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.04 = 142.24 : x
  2. Step 2: Convert to fraction form
    149.56/206.04 = 142.24/x
  3. Step 3: Cross multiply
    149.56x = 206.04 × 142.24
  4. Step 4: Simplify right side
    149.56x = 29,307.13
  5. Step 5: Solve for x
    x = 29,307.13/149.56
  6. Step 6: Final answer
    x = 195.96

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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.