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Finding the Fourth Proportional to 318.68, 438.72 and 274.76

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Solution

The fourth proportional to 318.68, 438.72 and 274.76 is: 378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 438.72 = 274.76 : x
  2. Step 2: Convert to fraction form
    318.68/438.72 = 274.76/x
  3. Step 3: Cross multiply
    318.68x = 438.72 × 274.76
  4. Step 4: Simplify right side
    318.68x = 120,542.71
  5. Step 5: Solve for x
    x = 120,542.71/318.68
  6. Step 6: Final answer
    x = 378.26

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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.