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Finding the Fourth Proportional to 237.63, 356.49 and 122.13

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Solution

The fourth proportional to 237.63, 356.49 and 122.13 is: 183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 356.49 = 122.13 : x
  2. Step 2: Convert to fraction form
    237.63/356.49 = 122.13/x
  3. Step 3: Cross multiply
    237.63x = 356.49 × 122.13
  4. Step 4: Simplify right side
    237.63x = 43,538.12
  5. Step 5: Solve for x
    x = 43,538.12/237.63
  6. Step 6: Final answer
    x = 183.22

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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.