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Finding the Fourth Proportional to 445.17, 614.39 and 297.57

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Solution

The fourth proportional to 445.17, 614.39 and 297.57 is: 410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.17 : 614.39 = 297.57 : x
  2. Step 2: Convert to fraction form
    445.17/614.39 = 297.57/x
  3. Step 3: Cross multiply
    445.17x = 614.39 × 297.57
  4. Step 4: Simplify right side
    445.17x = 182,822.54
  5. Step 5: Solve for x
    x = 182,822.54/445.17
  6. Step 6: Final answer
    x = 410.68

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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.