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Finding the Fourth Proportional to 184.80, 253.17 and 177.88

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Solution

The fourth proportional to 184.80, 253.17 and 177.88 is: 243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 253.17 = 177.88 : x
  2. Step 2: Convert to fraction form
    184.80/253.17 = 177.88/x
  3. Step 3: Cross multiply
    184.80x = 253.17 × 177.88
  4. Step 4: Simplify right side
    184.80x = 45,033.44
  5. Step 5: Solve for x
    x = 45,033.44/184.80
  6. Step 6: Final answer
    x = 243.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.