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Finding the Fourth Proportional to 417.54, 576.40 and 287.22

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Solution

The fourth proportional to 417.54, 576.40 and 287.22 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 576.40 = 287.22 : x
  2. Step 2: Convert to fraction form
    417.54/576.40 = 287.22/x
  3. Step 3: Cross multiply
    417.54x = 576.40 × 287.22
  4. Step 4: Simplify right side
    417.54x = 165,553.61
  5. Step 5: Solve for x
    x = 165,553.61/417.54
  6. Step 6: Final answer
    x = 396.50

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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.