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Finding the Fourth Proportional to 318.08, 439.40 and 259.76

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Solution

The fourth proportional to 318.08, 439.40 and 259.76 is: 358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.08 : 439.40 = 259.76 : x
  2. Step 2: Convert to fraction form
    318.08/439.40 = 259.76/x
  3. Step 3: Cross multiply
    318.08x = 439.40 × 259.76
  4. Step 4: Simplify right side
    318.08x = 114,138.54
  5. Step 5: Solve for x
    x = 114,138.54/318.08
  6. Step 6: Final answer
    x = 358.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.