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Finding the Fourth Proportional to 341.80, 513.26 and 197.64

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Solution

The fourth proportional to 341.80, 513.26 and 197.64 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 513.26 = 197.64 : x
  2. Step 2: Convert to fraction form
    341.80/513.26 = 197.64/x
  3. Step 3: Cross multiply
    341.80x = 513.26 × 197.64
  4. Step 4: Simplify right side
    341.80x = 101,440.71
  5. Step 5: Solve for x
    x = 101,440.71/341.80
  6. Step 6: Final answer
    x = 296.78

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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.