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Finding the Fourth Proportional to 271.74, 374.91 and 155.22

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Solution

The fourth proportional to 271.74, 374.91 and 155.22 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 374.91 = 155.22 : x
  2. Step 2: Convert to fraction form
    271.74/374.91 = 155.22/x
  3. Step 3: Cross multiply
    271.74x = 374.91 × 155.22
  4. Step 4: Simplify right side
    271.74x = 58,193.53
  5. Step 5: Solve for x
    x = 58,193.53/271.74
  6. Step 6: Final answer
    x = 214.15

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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.