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Finding the Fourth Proportional to 247.82, 369.92 and 229.50

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Solution

The fourth proportional to 247.82, 369.92 and 229.50 is: 342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.82 : 369.92 = 229.50 : x
  2. Step 2: Convert to fraction form
    247.82/369.92 = 229.50/x
  3. Step 3: Cross multiply
    247.82x = 369.92 × 229.50
  4. Step 4: Simplify right side
    247.82x = 84,897.21
  5. Step 5: Solve for x
    x = 84,897.21/247.82
  6. Step 6: Final answer
    x = 342.57

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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.