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Finding the Fourth Proportional to 259.96, 360.34 and 242.14

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Solution

The fourth proportional to 259.96, 360.34 and 242.14 is: 335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 360.34 = 242.14 : x
  2. Step 2: Convert to fraction form
    259.96/360.34 = 242.14/x
  3. Step 3: Cross multiply
    259.96x = 360.34 × 242.14
  4. Step 4: Simplify right side
    259.96x = 87,252.73
  5. Step 5: Solve for x
    x = 87,252.73/259.96
  6. Step 6: Final answer
    x = 335.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.