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Finding the Fourth Proportional to 284.72, 429.44 and 250.91

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Solution

The fourth proportional to 284.72, 429.44 and 250.91 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 429.44 = 250.91 : x
  2. Step 2: Convert to fraction form
    284.72/429.44 = 250.91/x
  3. Step 3: Cross multiply
    284.72x = 429.44 × 250.91
  4. Step 4: Simplify right side
    284.72x = 107,747.39
  5. Step 5: Solve for x
    x = 107,747.39/284.72
  6. Step 6: Final answer
    x = 378.44

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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.