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Finding the Fourth Proportional to 478.38, 660.28 and 281.96

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Solution

The fourth proportional to 478.38, 660.28 and 281.96 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.38 : 660.28 = 281.96 : x
  2. Step 2: Convert to fraction form
    478.38/660.28 = 281.96/x
  3. Step 3: Cross multiply
    478.38x = 660.28 × 281.96
  4. Step 4: Simplify right side
    478.38x = 186,172.55
  5. Step 5: Solve for x
    x = 186,172.55/478.38
  6. Step 6: Final answer
    x = 389.17

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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.