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Finding the Fourth Proportional to 271.70, 374.01 and 206.18

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Solution

The fourth proportional to 271.70, 374.01 and 206.18 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 374.01 = 206.18 : x
  2. Step 2: Convert to fraction form
    271.70/374.01 = 206.18/x
  3. Step 3: Cross multiply
    271.70x = 374.01 × 206.18
  4. Step 4: Simplify right side
    271.70x = 77,113.38
  5. Step 5: Solve for x
    x = 77,113.38/271.70
  6. Step 6: Final answer
    x = 283.82

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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.