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Finding the Fourth Proportional to 149.12, 205.87 and 102.57

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Solution

The fourth proportional to 149.12, 205.87 and 102.57 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.12 : 205.87 = 102.57 : x
  2. Step 2: Convert to fraction form
    149.12/205.87 = 102.57/x
  3. Step 3: Cross multiply
    149.12x = 205.87 × 102.57
  4. Step 4: Simplify right side
    149.12x = 21,116.09
  5. Step 5: Solve for x
    x = 21,116.09/149.12
  6. Step 6: Final answer
    x = 141.61

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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.