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Finding the Fourth Proportional to 284.32, 428.26 and 280.54

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Solution

The fourth proportional to 284.32, 428.26 and 280.54 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 428.26 = 280.54 : x
  2. Step 2: Convert to fraction form
    284.32/428.26 = 280.54/x
  3. Step 3: Cross multiply
    284.32x = 428.26 × 280.54
  4. Step 4: Simplify right side
    284.32x = 120,144.06
  5. Step 5: Solve for x
    x = 120,144.06/284.32
  6. Step 6: Final answer
    x = 422.57

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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.