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Finding the Fourth Proportional to 478.56, 660.40 and 268.76

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Solution

The fourth proportional to 478.56, 660.40 and 268.76 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 660.40 = 268.76 : x
  2. Step 2: Convert to fraction form
    478.56/660.40 = 268.76/x
  3. Step 3: Cross multiply
    478.56x = 660.40 × 268.76
  4. Step 4: Simplify right side
    478.56x = 177,489.10
  5. Step 5: Solve for x
    x = 177,489.10/478.56
  6. Step 6: Final answer
    x = 370.88

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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.