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Finding the Fourth Proportional to 284.22, 428.69 and 250.40

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Solution

The fourth proportional to 284.22, 428.69 and 250.40 is: 377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 428.69 = 250.40 : x
  2. Step 2: Convert to fraction form
    284.22/428.69 = 250.40/x
  3. Step 3: Cross multiply
    284.22x = 428.69 × 250.40
  4. Step 4: Simplify right side
    284.22x = 107,343.98
  5. Step 5: Solve for x
    x = 107,343.98/284.22
  6. Step 6: Final answer
    x = 377.68

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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.