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Finding the Fourth Proportional to 178.62, 248.19 and 177.90

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Solution

The fourth proportional to 178.62, 248.19 and 177.90 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 248.19 = 177.90 : x
  2. Step 2: Convert to fraction form
    178.62/248.19 = 177.90/x
  3. Step 3: Cross multiply
    178.62x = 248.19 × 177.90
  4. Step 4: Simplify right side
    178.62x = 44,153.00
  5. Step 5: Solve for x
    x = 44,153.00/178.62
  6. Step 6: Final answer
    x = 247.19

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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.