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Finding the Fourth Proportional to 286.61, 392.95 and 281.42

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Solution

The fourth proportional to 286.61, 392.95 and 281.42 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.61 : 392.95 = 281.42 : x
  2. Step 2: Convert to fraction form
    286.61/392.95 = 281.42/x
  3. Step 3: Cross multiply
    286.61x = 392.95 × 281.42
  4. Step 4: Simplify right side
    286.61x = 110,583.99
  5. Step 5: Solve for x
    x = 110,583.99/286.61
  6. Step 6: Final answer
    x = 385.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.