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Finding the Fourth Proportional to 160.31, 238.85 and 149.83

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Solution

The fourth proportional to 160.31, 238.85 and 149.83 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 238.85 = 149.83 : x
  2. Step 2: Convert to fraction form
    160.31/238.85 = 149.83/x
  3. Step 3: Cross multiply
    160.31x = 238.85 × 149.83
  4. Step 4: Simplify right side
    160.31x = 35,786.90
  5. Step 5: Solve for x
    x = 35,786.90/160.31
  6. Step 6: Final answer
    x = 223.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.