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Finding the Fourth Proportional to 268.85, 371.02 and 150.83

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Solution

The fourth proportional to 268.85, 371.02 and 150.83 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 371.02 = 150.83 : x
  2. Step 2: Convert to fraction form
    268.85/371.02 = 150.83/x
  3. Step 3: Cross multiply
    268.85x = 371.02 × 150.83
  4. Step 4: Simplify right side
    268.85x = 55,960.11
  5. Step 5: Solve for x
    x = 55,960.11/268.85
  6. Step 6: Final answer
    x = 208.14

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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.