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Finding the Fourth Proportional to 318.97, 438.08 and 282.08

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Solution

The fourth proportional to 318.97, 438.08 and 282.08 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.97 : 438.08 = 282.08 : x
  2. Step 2: Convert to fraction form
    318.97/438.08 = 282.08/x
  3. Step 3: Cross multiply
    318.97x = 438.08 × 282.08
  4. Step 4: Simplify right side
    318.97x = 123,573.29
  5. Step 5: Solve for x
    x = 123,573.29/318.97
  6. Step 6: Final answer
    x = 387.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.