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Finding the Fourth Proportional to 909.12, 1,363.38 and 292.68

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Solution

The fourth proportional to 909.12, 1,363.38 and 292.68 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.12 : 1,363.38 = 292.68 : x
  2. Step 2: Convert to fraction form
    909.12/1,363.38 = 292.68/x
  3. Step 3: Cross multiply
    909.12x = 1,363.38 × 292.68
  4. Step 4: Simplify right side
    909.12x = 399,034.06
  5. Step 5: Solve for x
    x = 399,034.06/909.12
  6. Step 6: Final answer
    x = 438.92

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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.