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Finding the Fourth Proportional to 445.26, 614.49 and 298.26

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Solution

The fourth proportional to 445.26, 614.49 and 298.26 is: 411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.26 : 614.49 = 298.26 : x
  2. Step 2: Convert to fraction form
    445.26/614.49 = 298.26/x
  3. Step 3: Cross multiply
    445.26x = 614.49 × 298.26
  4. Step 4: Simplify right side
    445.26x = 183,277.79
  5. Step 5: Solve for x
    x = 183,277.79/445.26
  6. Step 6: Final answer
    x = 411.62

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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.