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Finding the Fourth Proportional to 247.50, 341.23 and 203.08

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Solution

The fourth proportional to 247.50, 341.23 and 203.08 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.50 : 341.23 = 203.08 : x
  2. Step 2: Convert to fraction form
    247.50/341.23 = 203.08/x
  3. Step 3: Cross multiply
    247.50x = 341.23 × 203.08
  4. Step 4: Simplify right side
    247.50x = 69,295.28
  5. Step 5: Solve for x
    x = 69,295.28/247.50
  6. Step 6: Final answer
    x = 279.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.