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Finding the Fourth Proportional to 271.48, 374.36 and 209.32

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Solution

The fourth proportional to 271.48, 374.36 and 209.32 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.48 : 374.36 = 209.32 : x
  2. Step 2: Convert to fraction form
    271.48/374.36 = 209.32/x
  3. Step 3: Cross multiply
    271.48x = 374.36 × 209.32
  4. Step 4: Simplify right side
    271.48x = 78,361.04
  5. Step 5: Solve for x
    x = 78,361.04/271.48
  6. Step 6: Final answer
    x = 288.64

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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.