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Finding the Fourth Proportional to 480.71, 663.30 and 281.57

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Solution

The fourth proportional to 480.71, 663.30 and 281.57 is: 388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.71 : 663.30 = 281.57 : x
  2. Step 2: Convert to fraction form
    480.71/663.30 = 281.57/x
  3. Step 3: Cross multiply
    480.71x = 663.30 × 281.57
  4. Step 4: Simplify right side
    480.71x = 186,765.38
  5. Step 5: Solve for x
    x = 186,765.38/480.71
  6. Step 6: Final answer
    x = 388.52

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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.