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Finding the Fourth Proportional to 909.46, 1,364.31 and 361.70

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Solution

The fourth proportional to 909.46, 1,364.31 and 361.70 is: 542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.46 : 1,364.31 = 361.70 : x
  2. Step 2: Convert to fraction form
    909.46/1,364.31 = 361.70/x
  3. Step 3: Cross multiply
    909.46x = 1,364.31 × 361.70
  4. Step 4: Simplify right side
    909.46x = 493,470.93
  5. Step 5: Solve for x
    x = 493,470.93/909.46
  6. Step 6: Final answer
    x = 542.60

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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.