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Finding the Fourth Proportional to 247.54, 369.13 and 230.23

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Solution

The fourth proportional to 247.54, 369.13 and 230.23 is: 343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.54 : 369.13 = 230.23 : x
  2. Step 2: Convert to fraction form
    247.54/369.13 = 230.23/x
  3. Step 3: Cross multiply
    247.54x = 369.13 × 230.23
  4. Step 4: Simplify right side
    247.54x = 84,984.60
  5. Step 5: Solve for x
    x = 84,984.60/247.54
  6. Step 6: Final answer
    x = 343.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.