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Finding the Fourth Proportional to 312.81, 431.46 and 194.66

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Solution

The fourth proportional to 312.81, 431.46 and 194.66 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 431.46 = 194.66 : x
  2. Step 2: Convert to fraction form
    312.81/431.46 = 194.66/x
  3. Step 3: Cross multiply
    312.81x = 431.46 × 194.66
  4. Step 4: Simplify right side
    312.81x = 83,987.46
  5. Step 5: Solve for x
    x = 83,987.46/312.81
  6. Step 6: Final answer
    x = 268.50

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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.