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Finding the Fourth Proportional to 178.89, 245.67 and 150.95

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Solution

The fourth proportional to 178.89, 245.67 and 150.95 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 245.67 = 150.95 : x
  2. Step 2: Convert to fraction form
    178.89/245.67 = 150.95/x
  3. Step 3: Cross multiply
    178.89x = 245.67 × 150.95
  4. Step 4: Simplify right side
    178.89x = 37,082.66
  5. Step 5: Solve for x
    x = 37,082.66/178.89
  6. Step 6: Final answer
    x = 207.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.