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Finding the Fourth Proportional to 417.06, 575.43 and 269.57

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Solution

The fourth proportional to 417.06, 575.43 and 269.57 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 575.43 = 269.57 : x
  2. Step 2: Convert to fraction form
    417.06/575.43 = 269.57/x
  3. Step 3: Cross multiply
    417.06x = 575.43 × 269.57
  4. Step 4: Simplify right side
    417.06x = 155,115.79
  5. Step 5: Solve for x
    x = 155,115.79/417.06
  6. Step 6: Final answer
    x = 371.93

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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.