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Finding the Fourth Proportional to 259.98, 390.17 and 223.83

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Solution

The fourth proportional to 259.98, 390.17 and 223.83 is: 335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 390.17 = 223.83 : x
  2. Step 2: Convert to fraction form
    259.98/390.17 = 223.83/x
  3. Step 3: Cross multiply
    259.98x = 390.17 × 223.83
  4. Step 4: Simplify right side
    259.98x = 87,330.63
  5. Step 5: Solve for x
    x = 87,330.63/259.98
  6. Step 6: Final answer
    x = 335.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.