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Finding the Fourth Proportional to 417.38, 575.75 and 291.29

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Solution

The fourth proportional to 417.38, 575.75 and 291.29 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 575.75 = 291.29 : x
  2. Step 2: Convert to fraction form
    417.38/575.75 = 291.29/x
  3. Step 3: Cross multiply
    417.38x = 575.75 × 291.29
  4. Step 4: Simplify right side
    417.38x = 167,705.88
  5. Step 5: Solve for x
    x = 167,705.88/417.38
  6. Step 6: Final answer
    x = 401.81

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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.