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Finding the Fourth Proportional to 230.86, 320.51 and 224.18

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Solution

The fourth proportional to 230.86, 320.51 and 224.18 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 320.51 = 224.18 : x
  2. Step 2: Convert to fraction form
    230.86/320.51 = 224.18/x
  3. Step 3: Cross multiply
    230.86x = 320.51 × 224.18
  4. Step 4: Simplify right side
    230.86x = 71,850.81
  5. Step 5: Solve for x
    x = 71,850.81/230.86
  6. Step 6: Final answer
    x = 311.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.