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Finding the Fourth Proportional to 284.54, 391.96 and 247.63

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Solution

The fourth proportional to 284.54, 391.96 and 247.63 is: 341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 391.96 = 247.63 : x
  2. Step 2: Convert to fraction form
    284.54/391.96 = 247.63/x
  3. Step 3: Cross multiply
    284.54x = 391.96 × 247.63
  4. Step 4: Simplify right side
    284.54x = 97,061.05
  5. Step 5: Solve for x
    x = 97,061.05/284.54
  6. Step 6: Final answer
    x = 341.12

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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.