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Finding the Fourth Proportional to 162.21, 243.30 and 114

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Solution

The fourth proportional to 162.21, 243.30 and 114 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.21 : 243.30 = 114 : x
  2. Step 2: Convert to fraction form
    162.21/243.30 = 114/x
  3. Step 3: Cross multiply
    162.21x = 243.30 × 114
  4. Step 4: Simplify right side
    162.21x = 27,736.20
  5. Step 5: Solve for x
    x = 27,736.20/162.21
  6. Step 6: Final answer
    x = 170.99

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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.