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Finding the Fourth Proportional to 162.13, 241.96 and 142.87

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Solution

The fourth proportional to 162.13, 241.96 and 142.87 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 241.96 = 142.87 : x
  2. Step 2: Convert to fraction form
    162.13/241.96 = 142.87/x
  3. Step 3: Cross multiply
    162.13x = 241.96 × 142.87
  4. Step 4: Simplify right side
    162.13x = 34,568.83
  5. Step 5: Solve for x
    x = 34,568.83/162.13
  6. Step 6: Final answer
    x = 213.22

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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.