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Finding the Fourth Proportional to 161.26, 242.12 and 158.53

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Solution

The fourth proportional to 161.26, 242.12 and 158.53 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 242.12 = 158.53 : x
  2. Step 2: Convert to fraction form
    161.26/242.12 = 158.53/x
  3. Step 3: Cross multiply
    161.26x = 242.12 × 158.53
  4. Step 4: Simplify right side
    161.26x = 38,383.53
  5. Step 5: Solve for x
    x = 38,383.53/161.26
  6. Step 6: Final answer
    x = 238.02

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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.