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Finding the Fourth Proportional to 445.61, 614.89 and 305.85

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Solution

The fourth proportional to 445.61, 614.89 and 305.85 is: 422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.61 : 614.89 = 305.85 : x
  2. Step 2: Convert to fraction form
    445.61/614.89 = 305.85/x
  3. Step 3: Cross multiply
    445.61x = 614.89 × 305.85
  4. Step 4: Simplify right side
    445.61x = 188,061.03
  5. Step 5: Solve for x
    x = 188,061.03/445.61
  6. Step 6: Final answer
    x = 422.04

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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.