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Finding the Fourth Proportional to 297.38, 444.12 and 253.58

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Solution

The fourth proportional to 297.38, 444.12 and 253.58 is: 378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 444.12 = 253.58 : x
  2. Step 2: Convert to fraction form
    297.38/444.12 = 253.58/x
  3. Step 3: Cross multiply
    297.38x = 444.12 × 253.58
  4. Step 4: Simplify right side
    297.38x = 112,619.95
  5. Step 5: Solve for x
    x = 112,619.95/297.38
  6. Step 6: Final answer
    x = 378.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.