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Finding the Fourth Proportional to 271.59, 374.96 and 209.30

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Solution

The fourth proportional to 271.59, 374.96 and 209.30 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.59 : 374.96 = 209.30 : x
  2. Step 2: Convert to fraction form
    271.59/374.96 = 209.30/x
  3. Step 3: Cross multiply
    271.59x = 374.96 × 209.30
  4. Step 4: Simplify right side
    271.59x = 78,479.13
  5. Step 5: Solve for x
    x = 78,479.13/271.59
  6. Step 6: Final answer
    x = 288.96

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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.