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Finding the Fourth Proportional to 343.86, 515.90 and 197.77

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Solution

The fourth proportional to 343.86, 515.90 and 197.77 is: 296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 515.90 = 197.77 : x
  2. Step 2: Convert to fraction form
    343.86/515.90 = 197.77/x
  3. Step 3: Cross multiply
    343.86x = 515.90 × 197.77
  4. Step 4: Simplify right side
    343.86x = 102,029.54
  5. Step 5: Solve for x
    x = 102,029.54/343.86
  6. Step 6: Final answer
    x = 296.72

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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.