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Finding the Fourth Proportional to 343.65, 514.25 and 213.71

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Solution

The fourth proportional to 343.65, 514.25 and 213.71 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 514.25 = 213.71 : x
  2. Step 2: Convert to fraction form
    343.65/514.25 = 213.71/x
  3. Step 3: Cross multiply
    343.65x = 514.25 × 213.71
  4. Step 4: Simplify right side
    343.65x = 109,900.53
  5. Step 5: Solve for x
    x = 109,900.53/343.65
  6. Step 6: Final answer
    x = 319.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.