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Finding the Fourth Proportional to 208.38, 312 and 121.59

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Solution

The fourth proportional to 208.38, 312 and 121.59 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.38 : 312 = 121.59 : x
  2. Step 2: Convert to fraction form
    208.38/312 = 121.59/x
  3. Step 3: Cross multiply
    208.38x = 312 × 121.59
  4. Step 4: Simplify right side
    208.38x = 37,934.52
  5. Step 5: Solve for x
    x = 37,934.52/208.38
  6. Step 6: Final answer
    x = 182.04

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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.