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Finding the Fourth Proportional to 284.52, 391.92 and 263.52

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Solution

The fourth proportional to 284.52, 391.92 and 263.52 is: 362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 391.92 = 263.52 : x
  2. Step 2: Convert to fraction form
    284.52/391.92 = 263.52/x
  3. Step 3: Cross multiply
    284.52x = 391.92 × 263.52
  4. Step 4: Simplify right side
    284.52x = 103,278.76
  5. Step 5: Solve for x
    x = 103,278.76/284.52
  6. Step 6: Final answer
    x = 362.99

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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.