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Finding the Fourth Proportional to 271.65, 406.72 and 143.13

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Solution

The fourth proportional to 271.65, 406.72 and 143.13 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 406.72 = 143.13 : x
  2. Step 2: Convert to fraction form
    271.65/406.72 = 143.13/x
  3. Step 3: Cross multiply
    271.65x = 406.72 × 143.13
  4. Step 4: Simplify right side
    271.65x = 58,213.83
  5. Step 5: Solve for x
    x = 58,213.83/271.65
  6. Step 6: Final answer
    x = 214.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.