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Finding the Fourth Proportional to 160.91, 240.05 and 155.44

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Solution

The fourth proportional to 160.91, 240.05 and 155.44 is: 231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.91 : 240.05 = 155.44 : x
  2. Step 2: Convert to fraction form
    160.91/240.05 = 155.44/x
  3. Step 3: Cross multiply
    160.91x = 240.05 × 155.44
  4. Step 4: Simplify right side
    160.91x = 37,313.37
  5. Step 5: Solve for x
    x = 37,313.37/160.91
  6. Step 6: Final answer
    x = 231.89

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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.