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Finding the Fourth Proportional to 161.89, 239.45 and 161.89

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Solution

The fourth proportional to 161.89, 239.45 and 161.89 is: 239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.89 : 239.45 = 161.89 : x
  2. Step 2: Convert to fraction form
    161.89/239.45 = 161.89/x
  3. Step 3: Cross multiply
    161.89x = 239.45 × 161.89
  4. Step 4: Simplify right side
    161.89x = 38,763.15
  5. Step 5: Solve for x
    x = 38,763.15/161.89
  6. Step 6: Final answer
    x = 239.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.