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Finding the Fourth Proportional to 119.18, 177.86 and 106.24

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Solution

The fourth proportional to 119.18, 177.86 and 106.24 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.18 : 177.86 = 106.24 : x
  2. Step 2: Convert to fraction form
    119.18/177.86 = 106.24/x
  3. Step 3: Cross multiply
    119.18x = 177.86 × 106.24
  4. Step 4: Simplify right side
    119.18x = 18,895.56
  5. Step 5: Solve for x
    x = 18,895.56/119.18
  6. Step 6: Final answer
    x = 158.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.