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Finding the Fourth Proportional to 271.32, 374.46 and 205.71

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Solution

The fourth proportional to 271.32, 374.46 and 205.71 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 374.46 = 205.71 : x
  2. Step 2: Convert to fraction form
    271.32/374.46 = 205.71/x
  3. Step 3: Cross multiply
    271.32x = 374.46 × 205.71
  4. Step 4: Simplify right side
    271.32x = 77,030.17
  5. Step 5: Solve for x
    x = 77,030.17/271.32
  6. Step 6: Final answer
    x = 283.91

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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.