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Finding the Fourth Proportional to 318.70, 438.90 and 274.10

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Solution

The fourth proportional to 318.70, 438.90 and 274.10 is: 377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.70 : 438.90 = 274.10 : x
  2. Step 2: Convert to fraction form
    318.70/438.90 = 274.10/x
  3. Step 3: Cross multiply
    318.70x = 438.90 × 274.10
  4. Step 4: Simplify right side
    318.70x = 120,302.49
  5. Step 5: Solve for x
    x = 120,302.49/318.70
  6. Step 6: Final answer
    x = 377.48

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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.