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Finding the Fourth Proportional to 161.98, 243.30 and 142.55

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Solution

The fourth proportional to 161.98, 243.30 and 142.55 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 243.30 = 142.55 : x
  2. Step 2: Convert to fraction form
    161.98/243.30 = 142.55/x
  3. Step 3: Cross multiply
    161.98x = 243.30 × 142.55
  4. Step 4: Simplify right side
    161.98x = 34,682.42
  5. Step 5: Solve for x
    x = 34,682.42/161.98
  6. Step 6: Final answer
    x = 214.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.