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Finding the Fourth Proportional to 242.21, 362.84 and 114.05

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Solution

The fourth proportional to 242.21, 362.84 and 114.05 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.21 : 362.84 = 114.05 : x
  2. Step 2: Convert to fraction form
    242.21/362.84 = 114.05/x
  3. Step 3: Cross multiply
    242.21x = 362.84 × 114.05
  4. Step 4: Simplify right side
    242.21x = 41,381.33
  5. Step 5: Solve for x
    x = 41,381.33/242.21
  6. Step 6: Final answer
    x = 170.85

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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.