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Finding the Fourth Proportional to 343.28, 516.65 and 309.72

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Solution

The fourth proportional to 343.28, 516.65 and 309.72 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 516.65 = 309.72 : x
  2. Step 2: Convert to fraction form
    343.28/516.65 = 309.72/x
  3. Step 3: Cross multiply
    343.28x = 516.65 × 309.72
  4. Step 4: Simplify right side
    343.28x = 160,015.29
  5. Step 5: Solve for x
    x = 160,015.29/343.28
  6. Step 6: Final answer
    x = 466.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.