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Finding the Fourth Proportional to 397.17, 547.56 and 286.74

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Solution

The fourth proportional to 397.17, 547.56 and 286.74 is: 395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.17 : 547.56 = 286.74 : x
  2. Step 2: Convert to fraction form
    397.17/547.56 = 286.74/x
  3. Step 3: Cross multiply
    397.17x = 547.56 × 286.74
  4. Step 4: Simplify right side
    397.17x = 157,007.35
  5. Step 5: Solve for x
    x = 157,007.35/397.17
  6. Step 6: Final answer
    x = 395.32

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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.