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Finding the Fourth Proportional to 229.80, 316.80 and 183.12

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Solution

The fourth proportional to 229.80, 316.80 and 183.12 is: 252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 316.80 = 183.12 : x
  2. Step 2: Convert to fraction form
    229.80/316.80 = 183.12/x
  3. Step 3: Cross multiply
    229.80x = 316.80 × 183.12
  4. Step 4: Simplify right side
    229.80x = 58,012.42
  5. Step 5: Solve for x
    x = 58,012.42/229.80
  6. Step 6: Final answer
    x = 252.45

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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.