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Finding the Fourth Proportional to 445.38, 614.70 and 298.08

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Solution

The fourth proportional to 445.38, 614.70 and 298.08 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 614.70 = 298.08 : x
  2. Step 2: Convert to fraction form
    445.38/614.70 = 298.08/x
  3. Step 3: Cross multiply
    445.38x = 614.70 × 298.08
  4. Step 4: Simplify right side
    445.38x = 183,229.78
  5. Step 5: Solve for x
    x = 183,229.78/445.38
  6. Step 6: Final answer
    x = 411.40

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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.