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Finding the Fourth Proportional to 178.56, 247.32 and 174.72

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Solution

The fourth proportional to 178.56, 247.32 and 174.72 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 247.32 = 174.72 : x
  2. Step 2: Convert to fraction form
    178.56/247.32 = 174.72/x
  3. Step 3: Cross multiply
    178.56x = 247.32 × 174.72
  4. Step 4: Simplify right side
    178.56x = 43,211.75
  5. Step 5: Solve for x
    x = 43,211.75/178.56
  6. Step 6: Final answer
    x = 242.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.