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Finding the Fourth Proportional to 229.90, 316.83 and 190.42

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Solution

The fourth proportional to 229.90, 316.83 and 190.42 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.90 : 316.83 = 190.42 : x
  2. Step 2: Convert to fraction form
    229.90/316.83 = 190.42/x
  3. Step 3: Cross multiply
    229.90x = 316.83 × 190.42
  4. Step 4: Simplify right side
    229.90x = 60,330.77
  5. Step 5: Solve for x
    x = 60,330.77/229.90
  6. Step 6: Final answer
    x = 262.42

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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.