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Finding the Fourth Proportional to 418.27, 576.60 and 358.98

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Solution

The fourth proportional to 418.27, 576.60 and 358.98 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.27 : 576.60 = 358.98 : x
  2. Step 2: Convert to fraction form
    418.27/576.60 = 358.98/x
  3. Step 3: Cross multiply
    418.27x = 576.60 × 358.98
  4. Step 4: Simplify right side
    418.27x = 206,987.87
  5. Step 5: Solve for x
    x = 206,987.87/418.27
  6. Step 6: Final answer
    x = 494.87

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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.