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Finding the Fourth Proportional to 268.85, 370.91 and 158.31

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Solution

The fourth proportional to 268.85, 370.91 and 158.31 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 370.91 = 158.31 : x
  2. Step 2: Convert to fraction form
    268.85/370.91 = 158.31/x
  3. Step 3: Cross multiply
    268.85x = 370.91 × 158.31
  4. Step 4: Simplify right side
    268.85x = 58,717.97
  5. Step 5: Solve for x
    x = 58,717.97/268.85
  6. Step 6: Final answer
    x = 218.41

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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.