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Finding the Fourth Proportional to 229.70, 317.12 and 182.39

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Solution

The fourth proportional to 229.70, 317.12 and 182.39 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 317.12 = 182.39 : x
  2. Step 2: Convert to fraction form
    229.70/317.12 = 182.39/x
  3. Step 3: Cross multiply
    229.70x = 317.12 × 182.39
  4. Step 4: Simplify right side
    229.70x = 57,839.52
  5. Step 5: Solve for x
    x = 57,839.52/229.70
  6. Step 6: Final answer
    x = 251.80

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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.