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Finding the Fourth Proportional to 416.72, 574.85 and 318.31

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Solution

The fourth proportional to 416.72, 574.85 and 318.31 is: 439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 574.85 = 318.31 : x
  2. Step 2: Convert to fraction form
    416.72/574.85 = 318.31/x
  3. Step 3: Cross multiply
    416.72x = 574.85 × 318.31
  4. Step 4: Simplify right side
    416.72x = 182,980.50
  5. Step 5: Solve for x
    x = 182,980.50/416.72
  6. Step 6: Final answer
    x = 439.10

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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.