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Finding the Fourth Proportional to 259.20, 355.62 and 237.44

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Solution

The fourth proportional to 259.20, 355.62 and 237.44 is: 325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 355.62 = 237.44 : x
  2. Step 2: Convert to fraction form
    259.20/355.62 = 237.44/x
  3. Step 3: Cross multiply
    259.20x = 355.62 × 237.44
  4. Step 4: Simplify right side
    259.20x = 84,438.41
  5. Step 5: Solve for x
    x = 84,438.41/259.20
  6. Step 6: Final answer
    x = 325.77

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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.