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Finding the Fourth Proportional to 285.92, 397.31 and 282.95

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Solution

The fourth proportional to 285.92, 397.31 and 282.95 is: 393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 397.31 = 282.95 : x
  2. Step 2: Convert to fraction form
    285.92/397.31 = 282.95/x
  3. Step 3: Cross multiply
    285.92x = 397.31 × 282.95
  4. Step 4: Simplify right side
    285.92x = 112,415.46
  5. Step 5: Solve for x
    x = 112,415.46/285.92
  6. Step 6: Final answer
    x = 393.18

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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.