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Finding the Fourth Proportional to 318.43, 436.61 and 287.22

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Solution

The fourth proportional to 318.43, 436.61 and 287.22 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.43 : 436.61 = 287.22 : x
  2. Step 2: Convert to fraction form
    318.43/436.61 = 287.22/x
  3. Step 3: Cross multiply
    318.43x = 436.61 × 287.22
  4. Step 4: Simplify right side
    318.43x = 125,403.12
  5. Step 5: Solve for x
    x = 125,403.12/318.43
  6. Step 6: Final answer
    x = 393.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.