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Finding the Fourth Proportional to 298.96, 447.88 and 177.24

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Solution

The fourth proportional to 298.96, 447.88 and 177.24 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 447.88 = 177.24 : x
  2. Step 2: Convert to fraction form
    298.96/447.88 = 177.24/x
  3. Step 3: Cross multiply
    298.96x = 447.88 × 177.24
  4. Step 4: Simplify right side
    298.96x = 79,382.25
  5. Step 5: Solve for x
    x = 79,382.25/298.96
  6. Step 6: Final answer
    x = 265.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.