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Finding the Fourth Proportional to 178.24, 245.90 and 112.78

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Solution

The fourth proportional to 178.24, 245.90 and 112.78 is: 155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 245.90 = 112.78 : x
  2. Step 2: Convert to fraction form
    178.24/245.90 = 112.78/x
  3. Step 3: Cross multiply
    178.24x = 245.90 × 112.78
  4. Step 4: Simplify right side
    178.24x = 27,732.60
  5. Step 5: Solve for x
    x = 27,732.60/178.24
  6. Step 6: Final answer
    x = 155.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.