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Finding the Fourth Proportional to 259.80, 387.72 and 223.80

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Solution

The fourth proportional to 259.80, 387.72 and 223.80 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 387.72 = 223.80 : x
  2. Step 2: Convert to fraction form
    259.80/387.72 = 223.80/x
  3. Step 3: Cross multiply
    259.80x = 387.72 × 223.80
  4. Step 4: Simplify right side
    259.80x = 86,771.74
  5. Step 5: Solve for x
    x = 86,771.74/259.80
  6. Step 6: Final answer
    x = 333.99

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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.