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Finding the Fourth Proportional to 314.61, 434.13 and 196.56

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Solution

The fourth proportional to 314.61, 434.13 and 196.56 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 434.13 = 196.56 : x
  2. Step 2: Convert to fraction form
    314.61/434.13 = 196.56/x
  3. Step 3: Cross multiply
    314.61x = 434.13 × 196.56
  4. Step 4: Simplify right side
    314.61x = 85,332.59
  5. Step 5: Solve for x
    x = 85,332.59/314.61
  6. Step 6: Final answer
    x = 271.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.