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Finding the Fourth Proportional to 161.14, 240.14 and 158.08

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Solution

The fourth proportional to 161.14, 240.14 and 158.08 is: 235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.14 : 240.14 = 158.08 : x
  2. Step 2: Convert to fraction form
    161.14/240.14 = 158.08/x
  3. Step 3: Cross multiply
    161.14x = 240.14 × 158.08
  4. Step 4: Simplify right side
    161.14x = 37,961.33
  5. Step 5: Solve for x
    x = 37,961.33/161.14
  6. Step 6: Final answer
    x = 235.58

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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.