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Finding the Fourth Proportional to 247.37, 370.87 and 122.21

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Solution

The fourth proportional to 247.37, 370.87 and 122.21 is: 183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.37 : 370.87 = 122.21 : x
  2. Step 2: Convert to fraction form
    247.37/370.87 = 122.21/x
  3. Step 3: Cross multiply
    247.37x = 370.87 × 122.21
  4. Step 4: Simplify right side
    247.37x = 45,325.34
  5. Step 5: Solve for x
    x = 45,325.34/247.37
  6. Step 6: Final answer
    x = 183.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.