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Finding the Fourth Proportional to 318.38, 475.26 and 275.31

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Solution

The fourth proportional to 318.38, 475.26 and 275.31 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 475.26 = 275.31 : x
  2. Step 2: Convert to fraction form
    318.38/475.26 = 275.31/x
  3. Step 3: Cross multiply
    318.38x = 475.26 × 275.31
  4. Step 4: Simplify right side
    318.38x = 130,846.65
  5. Step 5: Solve for x
    x = 130,846.65/318.38
  6. Step 6: Final answer
    x = 410.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.