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Finding the Fourth Proportional to 161.36, 240.70 and 141.92

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Solution

The fourth proportional to 161.36, 240.70 and 141.92 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.36 : 240.70 = 141.92 : x
  2. Step 2: Convert to fraction form
    161.36/240.70 = 141.92/x
  3. Step 3: Cross multiply
    161.36x = 240.70 × 141.92
  4. Step 4: Simplify right side
    161.36x = 34,160.14
  5. Step 5: Solve for x
    x = 34,160.14/161.36
  6. Step 6: Final answer
    x = 211.70

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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.