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Finding the Fourth Proportional to 287.38, 396.44 and 176.79

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Solution

The fourth proportional to 287.38, 396.44 and 176.79 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.38 : 396.44 = 176.79 : x
  2. Step 2: Convert to fraction form
    287.38/396.44 = 176.79/x
  3. Step 3: Cross multiply
    287.38x = 396.44 × 176.79
  4. Step 4: Simplify right side
    287.38x = 70,085.74
  5. Step 5: Solve for x
    x = 70,085.74/287.38
  6. Step 6: Final answer
    x = 243.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.