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Finding the Fourth Proportional to 286.88, 395.76 and 170.42

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Solution

The fourth proportional to 286.88, 395.76 and 170.42 is: 235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 395.76 = 170.42 : x
  2. Step 2: Convert to fraction form
    286.88/395.76 = 170.42/x
  3. Step 3: Cross multiply
    286.88x = 395.76 × 170.42
  4. Step 4: Simplify right side
    286.88x = 67,445.42
  5. Step 5: Solve for x
    x = 67,445.42/286.88
  6. Step 6: Final answer
    x = 235.10

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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.