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Finding the Fourth Proportional to 271.62, 405.36 and 237.06

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Solution

The fourth proportional to 271.62, 405.36 and 237.06 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 405.36 = 237.06 : x
  2. Step 2: Convert to fraction form
    271.62/405.36 = 237.06/x
  3. Step 3: Cross multiply
    271.62x = 405.36 × 237.06
  4. Step 4: Simplify right side
    271.62x = 96,094.64
  5. Step 5: Solve for x
    x = 96,094.64/271.62
  6. Step 6: Final answer
    x = 353.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.