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Finding the Fourth Proportional to 134.82, 202.28 and 105.95

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Solution

The fourth proportional to 134.82, 202.28 and 105.95 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 202.28 = 105.95 : x
  2. Step 2: Convert to fraction form
    134.82/202.28 = 105.95/x
  3. Step 3: Cross multiply
    134.82x = 202.28 × 105.95
  4. Step 4: Simplify right side
    134.82x = 21,430.02
  5. Step 5: Solve for x
    x = 21,430.02/134.82
  6. Step 6: Final answer
    x = 158.95

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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.