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Finding the Fourth Proportional to 247.50, 342.45 and 212.49

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Solution

The fourth proportional to 247.50, 342.45 and 212.49 is: 294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.50 : 342.45 = 212.49 : x
  2. Step 2: Convert to fraction form
    247.50/342.45 = 212.49/x
  3. Step 3: Cross multiply
    247.50x = 342.45 × 212.49
  4. Step 4: Simplify right side
    247.50x = 72,767.20
  5. Step 5: Solve for x
    x = 72,767.20/247.50
  6. Step 6: Final answer
    x = 294.01

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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.