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Finding the Fourth Proportional to 229.59, 343.52 and 136.70

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Solution

The fourth proportional to 229.59, 343.52 and 136.70 is: 204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.59 : 343.52 = 136.70 : x
  2. Step 2: Convert to fraction form
    229.59/343.52 = 136.70/x
  3. Step 3: Cross multiply
    229.59x = 343.52 × 136.70
  4. Step 4: Simplify right side
    229.59x = 46,959.18
  5. Step 5: Solve for x
    x = 46,959.18/229.59
  6. Step 6: Final answer
    x = 204.53

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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.