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Finding the Fourth Proportional to 259.50, 387.87 and 213.60

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Solution

The fourth proportional to 259.50, 387.87 and 213.60 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 387.87 = 213.60 : x
  2. Step 2: Convert to fraction form
    259.50/387.87 = 213.60/x
  3. Step 3: Cross multiply
    259.50x = 387.87 × 213.60
  4. Step 4: Simplify right side
    259.50x = 82,849.03
  5. Step 5: Solve for x
    x = 82,849.03/259.50
  6. Step 6: Final answer
    x = 319.26

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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.