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Finding the Fourth Proportional to 162.21, 243.12 and 126.09

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Solution

The fourth proportional to 162.21, 243.12 and 126.09 is: 188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.21 : 243.12 = 126.09 : x
  2. Step 2: Convert to fraction form
    162.21/243.12 = 126.09/x
  3. Step 3: Cross multiply
    162.21x = 243.12 × 126.09
  4. Step 4: Simplify right side
    162.21x = 30,655.00
  5. Step 5: Solve for x
    x = 30,655.00/162.21
  6. Step 6: Final answer
    x = 188.98

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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.