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Finding the Fourth Proportional to 268.76, 370.85 and 158.24

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Solution

The fourth proportional to 268.76, 370.85 and 158.24 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.76 : 370.85 = 158.24 : x
  2. Step 2: Convert to fraction form
    268.76/370.85 = 158.24/x
  3. Step 3: Cross multiply
    268.76x = 370.85 × 158.24
  4. Step 4: Simplify right side
    268.76x = 58,684.63
  5. Step 5: Solve for x
    x = 58,684.63/268.76
  6. Step 6: Final answer
    x = 218.36

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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.