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Finding the Fourth Proportional to 318.13, 476.41 and 262.95

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Solution

The fourth proportional to 318.13, 476.41 and 262.95 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.13 : 476.41 = 262.95 : x
  2. Step 2: Convert to fraction form
    318.13/476.41 = 262.95/x
  3. Step 3: Cross multiply
    318.13x = 476.41 × 262.95
  4. Step 4: Simplify right side
    318.13x = 125,272.01
  5. Step 5: Solve for x
    x = 125,272.01/318.13
  6. Step 6: Final answer
    x = 393.78

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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.