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Finding the Fourth Proportional to 149.31, 205.63 and 123.19

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Solution

The fourth proportional to 149.31, 205.63 and 123.19 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 205.63 = 123.19 : x
  2. Step 2: Convert to fraction form
    149.31/205.63 = 123.19/x
  3. Step 3: Cross multiply
    149.31x = 205.63 × 123.19
  4. Step 4: Simplify right side
    149.31x = 25,330.74
  5. Step 5: Solve for x
    x = 25,330.74/149.31
  6. Step 6: Final answer
    x = 169.65

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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.