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Finding the Fourth Proportional to 161.13, 240.47 and 141.87

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Solution

The fourth proportional to 161.13, 240.47 and 141.87 is: 211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.13 : 240.47 = 141.87 : x
  2. Step 2: Convert to fraction form
    161.13/240.47 = 141.87/x
  3. Step 3: Cross multiply
    161.13x = 240.47 × 141.87
  4. Step 4: Simplify right side
    161.13x = 34,114.77
  5. Step 5: Solve for x
    x = 34,114.77/161.13
  6. Step 6: Final answer
    x = 211.72

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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.