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Finding the Fourth Proportional to 178.10, 247.46 and 175.87

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Solution

The fourth proportional to 178.10, 247.46 and 175.87 is: 244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 247.46 = 175.87 : x
  2. Step 2: Convert to fraction form
    178.10/247.46 = 175.87/x
  3. Step 3: Cross multiply
    178.10x = 247.46 × 175.87
  4. Step 4: Simplify right side
    178.10x = 43,520.22
  5. Step 5: Solve for x
    x = 43,520.22/178.10
  6. Step 6: Final answer
    x = 244.36

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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.