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Finding the Fourth Proportional to 445.74, 614.80 and 298.12

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Solution

The fourth proportional to 445.74, 614.80 and 298.12 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.74 : 614.80 = 298.12 : x
  2. Step 2: Convert to fraction form
    445.74/614.80 = 298.12/x
  3. Step 3: Cross multiply
    445.74x = 614.80 × 298.12
  4. Step 4: Simplify right side
    445.74x = 183,284.18
  5. Step 5: Solve for x
    x = 183,284.18/445.74
  6. Step 6: Final answer
    x = 411.19

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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.