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Finding the Fourth Proportional to 417.28, 574.08 and 365.44

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Solution

The fourth proportional to 417.28, 574.08 and 365.44 is: 502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.28 : 574.08 = 365.44 : x
  2. Step 2: Convert to fraction form
    417.28/574.08 = 365.44/x
  3. Step 3: Cross multiply
    417.28x = 574.08 × 365.44
  4. Step 4: Simplify right side
    417.28x = 209,791.80
  5. Step 5: Solve for x
    x = 209,791.80/417.28
  6. Step 6: Final answer
    x = 502.76

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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.