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Finding the Fourth Proportional to 354.32, 488.76 and 255.96

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Solution

The fourth proportional to 354.32, 488.76 and 255.96 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 488.76 = 255.96 : x
  2. Step 2: Convert to fraction form
    354.32/488.76 = 255.96/x
  3. Step 3: Cross multiply
    354.32x = 488.76 × 255.96
  4. Step 4: Simplify right side
    354.32x = 125,103.01
  5. Step 5: Solve for x
    x = 125,103.01/354.32
  6. Step 6: Final answer
    x = 353.08

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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.