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Finding the Fourth Proportional to 149.15, 205.95 and 124.29

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Solution

The fourth proportional to 149.15, 205.95 and 124.29 is: 171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.15 : 205.95 = 124.29 : x
  2. Step 2: Convert to fraction form
    149.15/205.95 = 124.29/x
  3. Step 3: Cross multiply
    149.15x = 205.95 × 124.29
  4. Step 4: Simplify right side
    149.15x = 25,597.99
  5. Step 5: Solve for x
    x = 25,597.99/149.15
  6. Step 6: Final answer
    x = 171.63

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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.