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Finding the Fourth Proportional to 242.13, 331.95 and 230.40

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Solution

The fourth proportional to 242.13, 331.95 and 230.40 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.13 : 331.95 = 230.40 : x
  2. Step 2: Convert to fraction form
    242.13/331.95 = 230.40/x
  3. Step 3: Cross multiply
    242.13x = 331.95 × 230.40
  4. Step 4: Simplify right side
    242.13x = 76,481.28
  5. Step 5: Solve for x
    x = 76,481.28/242.13
  6. Step 6: Final answer
    x = 315.87

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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.