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Finding the Fourth Proportional to 343.48, 515.20 and 206.56

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Solution

The fourth proportional to 343.48, 515.20 and 206.56 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 515.20 = 206.56 : x
  2. Step 2: Convert to fraction form
    343.48/515.20 = 206.56/x
  3. Step 3: Cross multiply
    343.48x = 515.20 × 206.56
  4. Step 4: Simplify right side
    343.48x = 106,419.71
  5. Step 5: Solve for x
    x = 106,419.71/343.48
  6. Step 6: Final answer
    x = 309.83

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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.