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Finding the Fourth Proportional to 262.50, 360.80 and 237.39

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Solution

The fourth proportional to 262.50, 360.80 and 237.39 is: 326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 360.80 = 237.39 : x
  2. Step 2: Convert to fraction form
    262.50/360.80 = 237.39/x
  3. Step 3: Cross multiply
    262.50x = 360.80 × 237.39
  4. Step 4: Simplify right side
    262.50x = 85,649.13
  5. Step 5: Solve for x
    x = 85,649.13/262.50
  6. Step 6: Final answer
    x = 326.28

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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.