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Finding the Fourth Proportional to 344.28, 514.19 and 311.72

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Solution

The fourth proportional to 344.28, 514.19 and 311.72 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.28 : 514.19 = 311.72 : x
  2. Step 2: Convert to fraction form
    344.28/514.19 = 311.72/x
  3. Step 3: Cross multiply
    344.28x = 514.19 × 311.72
  4. Step 4: Simplify right side
    344.28x = 160,281.52
  5. Step 5: Solve for x
    x = 160,281.52/344.28
  6. Step 6: Final answer
    x = 465.56

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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.