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Finding the Fourth Proportional to 417.30, 575.88 and 240.31

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Solution

The fourth proportional to 417.30, 575.88 and 240.31 is: 331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 575.88 = 240.31 : x
  2. Step 2: Convert to fraction form
    417.30/575.88 = 240.31/x
  3. Step 3: Cross multiply
    417.30x = 575.88 × 240.31
  4. Step 4: Simplify right side
    417.30x = 138,392.23
  5. Step 5: Solve for x
    x = 138,392.23/417.30
  6. Step 6: Final answer
    x = 331.64

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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.