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Finding the Fourth Proportional to 105.66, 158.31 and 85.34

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Solution

The fourth proportional to 105.66, 158.31 and 85.34 is: 127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 158.31 = 85.34 : x
  2. Step 2: Convert to fraction form
    105.66/158.31 = 85.34/x
  3. Step 3: Cross multiply
    105.66x = 158.31 × 85.34
  4. Step 4: Simplify right side
    105.66x = 13,510.18
  5. Step 5: Solve for x
    x = 13,510.18/105.66
  6. Step 6: Final answer
    x = 127.86

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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.