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Finding the Fourth Proportional to 287.31, 398.17 and 283.98

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Solution

The fourth proportional to 287.31, 398.17 and 283.98 is: 393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.31 : 398.17 = 283.98 : x
  2. Step 2: Convert to fraction form
    287.31/398.17 = 283.98/x
  3. Step 3: Cross multiply
    287.31x = 398.17 × 283.98
  4. Step 4: Simplify right side
    287.31x = 113,072.32
  5. Step 5: Solve for x
    x = 113,072.32/287.31
  6. Step 6: Final answer
    x = 393.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.