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Finding the Fourth Proportional to 478.88, 660.97 and 282.46

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Solution

The fourth proportional to 478.88, 660.97 and 282.46 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 660.97 = 282.46 : x
  2. Step 2: Convert to fraction form
    478.88/660.97 = 282.46/x
  3. Step 3: Cross multiply
    478.88x = 660.97 × 282.46
  4. Step 4: Simplify right side
    478.88x = 186,697.59
  5. Step 5: Solve for x
    x = 186,697.59/478.88
  6. Step 6: Final answer
    x = 389.86

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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.