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Finding the Fourth Proportional to 263.52, 361.80 and 237.60

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Solution

The fourth proportional to 263.52, 361.80 and 237.60 is: 326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.52 : 361.80 = 237.60 : x
  2. Step 2: Convert to fraction form
    263.52/361.80 = 237.60/x
  3. Step 3: Cross multiply
    263.52x = 361.80 × 237.60
  4. Step 4: Simplify right side
    263.52x = 85,963.68
  5. Step 5: Solve for x
    x = 85,963.68/263.52
  6. Step 6: Final answer
    x = 326.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.