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Finding the Fourth Proportional to 284.56, 428.77 and 234.33

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Solution

The fourth proportional to 284.56, 428.77 and 234.33 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 428.77 = 234.33 : x
  2. Step 2: Convert to fraction form
    284.56/428.77 = 234.33/x
  3. Step 3: Cross multiply
    284.56x = 428.77 × 234.33
  4. Step 4: Simplify right side
    284.56x = 100,473.67
  5. Step 5: Solve for x
    x = 100,473.67/284.56
  6. Step 6: Final answer
    x = 353.08

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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.