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Finding the Fourth Proportional to 318.13, 438.51 and 268.31

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Solution

The fourth proportional to 318.13, 438.51 and 268.31 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.13 : 438.51 = 268.31 : x
  2. Step 2: Convert to fraction form
    318.13/438.51 = 268.31/x
  3. Step 3: Cross multiply
    318.13x = 438.51 × 268.31
  4. Step 4: Simplify right side
    318.13x = 117,658.72
  5. Step 5: Solve for x
    x = 117,658.72/318.13
  6. Step 6: Final answer
    x = 369.85

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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.