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Finding the Fourth Proportional to 119.31, 178.13 and 103.05

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Solution

The fourth proportional to 119.31, 178.13 and 103.05 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 178.13 = 103.05 : x
  2. Step 2: Convert to fraction form
    119.31/178.13 = 103.05/x
  3. Step 3: Cross multiply
    119.31x = 178.13 × 103.05
  4. Step 4: Simplify right side
    119.31x = 18,356.30
  5. Step 5: Solve for x
    x = 18,356.30/119.31
  6. Step 6: Final answer
    x = 153.85

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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.