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Finding the Fourth Proportional to 343, 516.88 and 286.50

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Solution

The fourth proportional to 343, 516.88 and 286.50 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 516.88 = 286.50 : x
  2. Step 2: Convert to fraction form
    343/516.88 = 286.50/x
  3. Step 3: Cross multiply
    343x = 516.88 × 286.50
  4. Step 4: Simplify right side
    343x = 148,086.12
  5. Step 5: Solve for x
    x = 148,086.12/343
  6. Step 6: Final answer
    x = 431.74

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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.