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Finding the Fourth Proportional to 343.52, 513.09 and 294.92

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Solution

The fourth proportional to 343.52, 513.09 and 294.92 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 513.09 = 294.92 : x
  2. Step 2: Convert to fraction form
    343.52/513.09 = 294.92/x
  3. Step 3: Cross multiply
    343.52x = 513.09 × 294.92
  4. Step 4: Simplify right side
    343.52x = 151,320.50
  5. Step 5: Solve for x
    x = 151,320.50/343.52
  6. Step 6: Final answer
    x = 440.50

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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.