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Finding the Fourth Proportional to 318.27, 476.62 and 259.46

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Solution

The fourth proportional to 318.27, 476.62 and 259.46 is: 388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.27 : 476.62 = 259.46 : x
  2. Step 2: Convert to fraction form
    318.27/476.62 = 259.46/x
  3. Step 3: Cross multiply
    318.27x = 476.62 × 259.46
  4. Step 4: Simplify right side
    318.27x = 123,660.14
  5. Step 5: Solve for x
    x = 123,660.14/318.27
  6. Step 6: Final answer
    x = 388.54

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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.