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Finding the Fourth Proportional to 483.47, 667.14 and 286.97

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Solution

The fourth proportional to 483.47, 667.14 and 286.97 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.47 : 667.14 = 286.97 : x
  2. Step 2: Convert to fraction form
    483.47/667.14 = 286.97/x
  3. Step 3: Cross multiply
    483.47x = 667.14 × 286.97
  4. Step 4: Simplify right side
    483.47x = 191,445.83
  5. Step 5: Solve for x
    x = 191,445.83/483.47
  6. Step 6: Final answer
    x = 395.99

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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.