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Finding the Fourth Proportional to 318.81, 440.04 and 208.29

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Solution

The fourth proportional to 318.81, 440.04 and 208.29 is: 287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.81 : 440.04 = 208.29 : x
  2. Step 2: Convert to fraction form
    318.81/440.04 = 208.29/x
  3. Step 3: Cross multiply
    318.81x = 440.04 × 208.29
  4. Step 4: Simplify right side
    318.81x = 91,655.93
  5. Step 5: Solve for x
    x = 91,655.93/318.81
  6. Step 6: Final answer
    x = 287.49

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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.