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Finding the Fourth Proportional to 905.84, 1,358.25 and 280.96

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Solution

The fourth proportional to 905.84, 1,358.25 and 280.96 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,358.25 = 280.96 : x
  2. Step 2: Convert to fraction form
    905.84/1,358.25 = 280.96/x
  3. Step 3: Cross multiply
    905.84x = 1,358.25 × 280.96
  4. Step 4: Simplify right side
    905.84x = 381,614.71
  5. Step 5: Solve for x
    x = 381,614.71/905.84
  6. Step 6: Final answer
    x = 421.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.