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Finding the Fourth Proportional to 417.18, 575.68 and 240.09

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Solution

The fourth proportional to 417.18, 575.68 and 240.09 is: 331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.18 : 575.68 = 240.09 : x
  2. Step 2: Convert to fraction form
    417.18/575.68 = 240.09/x
  3. Step 3: Cross multiply
    417.18x = 575.68 × 240.09
  4. Step 4: Simplify right side
    417.18x = 138,215.01
  5. Step 5: Solve for x
    x = 138,215.01/417.18
  6. Step 6: Final answer
    x = 331.31

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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.