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Finding the Fourth Proportional to 417.90, 576.75 and 240.85

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Solution

The fourth proportional to 417.90, 576.75 and 240.85 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 576.75 = 240.85 : x
  2. Step 2: Convert to fraction form
    417.90/576.75 = 240.85/x
  3. Step 3: Cross multiply
    417.90x = 576.75 × 240.85
  4. Step 4: Simplify right side
    417.90x = 138,912.58
  5. Step 5: Solve for x
    x = 138,912.58/417.90
  6. Step 6: Final answer
    x = 332.41

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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.