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Finding the Fourth Proportional to 178.49, 268.02 and 170.78

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Solution

The fourth proportional to 178.49, 268.02 and 170.78 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 268.02 = 170.78 : x
  2. Step 2: Convert to fraction form
    178.49/268.02 = 170.78/x
  3. Step 3: Cross multiply
    178.49x = 268.02 × 170.78
  4. Step 4: Simplify right side
    178.49x = 45,772.46
  5. Step 5: Solve for x
    x = 45,772.46/178.49
  6. Step 6: Final answer
    x = 256.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.