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Finding the Fourth Proportional to 271.17, 374.58 and 206.01

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Solution

The fourth proportional to 271.17, 374.58 and 206.01 is: 284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.17 : 374.58 = 206.01 : x
  2. Step 2: Convert to fraction form
    271.17/374.58 = 206.01/x
  3. Step 3: Cross multiply
    271.17x = 374.58 × 206.01
  4. Step 4: Simplify right side
    271.17x = 77,167.23
  5. Step 5: Solve for x
    x = 77,167.23/271.17
  6. Step 6: Final answer
    x = 284.57

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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.