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Finding the Fourth Proportional to 283.63, 392.85 and 262.57

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Solution

The fourth proportional to 283.63, 392.85 and 262.57 is: 363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.63 : 392.85 = 262.57 : x
  2. Step 2: Convert to fraction form
    283.63/392.85 = 262.57/x
  3. Step 3: Cross multiply
    283.63x = 392.85 × 262.57
  4. Step 4: Simplify right side
    283.63x = 103,150.62
  5. Step 5: Solve for x
    x = 103,150.62/283.63
  6. Step 6: Final answer
    x = 363.68

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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.