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Finding the Fourth Proportional to 909.38, 1,363.31 and 353.81

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Solution

The fourth proportional to 909.38, 1,363.31 and 353.81 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.38 : 1,363.31 = 353.81 : x
  2. Step 2: Convert to fraction form
    909.38/1,363.31 = 353.81/x
  3. Step 3: Cross multiply
    909.38x = 1,363.31 × 353.81
  4. Step 4: Simplify right side
    909.38x = 482,344.13
  5. Step 5: Solve for x
    x = 482,344.13/909.38
  6. Step 6: Final answer
    x = 530.41

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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.