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Finding the Fourth Proportional to 417.35, 575.85 and 267.91

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Solution

The fourth proportional to 417.35, 575.85 and 267.91 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.35 : 575.85 = 267.91 : x
  2. Step 2: Convert to fraction form
    417.35/575.85 = 267.91/x
  3. Step 3: Cross multiply
    417.35x = 575.85 × 267.91
  4. Step 4: Simplify right side
    417.35x = 154,275.97
  5. Step 5: Solve for x
    x = 154,275.97/417.35
  6. Step 6: Final answer
    x = 369.66

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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.