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Finding the Fourth Proportional to 202.24, 279.12 and 114.94

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Solution

The fourth proportional to 202.24, 279.12 and 114.94 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 279.12 = 114.94 : x
  2. Step 2: Convert to fraction form
    202.24/279.12 = 114.94/x
  3. Step 3: Cross multiply
    202.24x = 279.12 × 114.94
  4. Step 4: Simplify right side
    202.24x = 32,082.05
  5. Step 5: Solve for x
    x = 32,082.05/202.24
  6. Step 6: Final answer
    x = 158.63

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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.