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Finding the Fourth Proportional to 297.14, 447.90 and 284.78

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Solution

The fourth proportional to 297.14, 447.90 and 284.78 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 447.90 = 284.78 : x
  2. Step 2: Convert to fraction form
    297.14/447.90 = 284.78/x
  3. Step 3: Cross multiply
    297.14x = 447.90 × 284.78
  4. Step 4: Simplify right side
    297.14x = 127,550.72
  5. Step 5: Solve for x
    x = 127,550.72/297.14
  6. Step 6: Final answer
    x = 429.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.