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Finding the Fourth Proportional to 231.49, 316.95 and 230.68

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Solution

The fourth proportional to 231.49, 316.95 and 230.68 is: 315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 316.95 = 230.68 : x
  2. Step 2: Convert to fraction form
    231.49/316.95 = 230.68/x
  3. Step 3: Cross multiply
    231.49x = 316.95 × 230.68
  4. Step 4: Simplify right side
    231.49x = 73,114.03
  5. Step 5: Solve for x
    x = 73,114.03/231.49
  6. Step 6: Final answer
    x = 315.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.