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Finding the Fourth Proportional to 162.38, 223.87 and 142.90

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Solution

The fourth proportional to 162.38, 223.87 and 142.90 is: 197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 223.87 = 142.90 : x
  2. Step 2: Convert to fraction form
    162.38/223.87 = 142.90/x
  3. Step 3: Cross multiply
    162.38x = 223.87 × 142.90
  4. Step 4: Simplify right side
    162.38x = 31,991.02
  5. Step 5: Solve for x
    x = 31,991.02/162.38
  6. Step 6: Final answer
    x = 197.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.