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Finding the Fourth Proportional to 312.94, 432.15 and 196.71

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Solution

The fourth proportional to 312.94, 432.15 and 196.71 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 432.15 = 196.71 : x
  2. Step 2: Convert to fraction form
    312.94/432.15 = 196.71/x
  3. Step 3: Cross multiply
    312.94x = 432.15 × 196.71
  4. Step 4: Simplify right side
    312.94x = 85,008.23
  5. Step 5: Solve for x
    x = 85,008.23/312.94
  6. Step 6: Final answer
    x = 271.64

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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.