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Finding the Fourth Proportional to 417.54, 575.92 and 270.14

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Solution

The fourth proportional to 417.54, 575.92 and 270.14 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 575.92 = 270.14 : x
  2. Step 2: Convert to fraction form
    417.54/575.92 = 270.14/x
  3. Step 3: Cross multiply
    417.54x = 575.92 × 270.14
  4. Step 4: Simplify right side
    417.54x = 155,579.03
  5. Step 5: Solve for x
    x = 155,579.03/417.54
  6. Step 6: Final answer
    x = 372.61

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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.