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Finding the Fourth Proportional to 247.46, 369.50 and 211.01

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Solution

The fourth proportional to 247.46, 369.50 and 211.01 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.46 : 369.50 = 211.01 : x
  2. Step 2: Convert to fraction form
    247.46/369.50 = 211.01/x
  3. Step 3: Cross multiply
    247.46x = 369.50 × 211.01
  4. Step 4: Simplify right side
    247.46x = 77,965.29
  5. Step 5: Solve for x
    x = 77,965.29/247.46
  6. Step 6: Final answer
    x = 315.07

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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.