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Finding the Fourth Proportional to 253.56, 380.88 and 150.83

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Solution

The fourth proportional to 253.56, 380.88 and 150.83 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.56 : 380.88 = 150.83 : x
  2. Step 2: Convert to fraction form
    253.56/380.88 = 150.83/x
  3. Step 3: Cross multiply
    253.56x = 380.88 × 150.83
  4. Step 4: Simplify right side
    253.56x = 57,447.65
  5. Step 5: Solve for x
    x = 57,447.65/253.56
  6. Step 6: Final answer
    x = 226.56

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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.