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Finding the Fourth Proportional to 271, 374.10 and 202.12

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Solution

The fourth proportional to 271, 374.10 and 202.12 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 374.10 = 202.12 : x
  2. Step 2: Convert to fraction form
    271/374.10 = 202.12/x
  3. Step 3: Cross multiply
    271x = 374.10 × 202.12
  4. Step 4: Simplify right side
    271x = 75,613.09
  5. Step 5: Solve for x
    x = 75,613.09/271
  6. Step 6: Final answer
    x = 279.02

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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.