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Finding the Fourth Proportional to 284.67, 428.22 and 282.24

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Solution

The fourth proportional to 284.67, 428.22 and 282.24 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 428.22 = 282.24 : x
  2. Step 2: Convert to fraction form
    284.67/428.22 = 282.24/x
  3. Step 3: Cross multiply
    284.67x = 428.22 × 282.24
  4. Step 4: Simplify right side
    284.67x = 120,860.81
  5. Step 5: Solve for x
    x = 120,860.81/284.67
  6. Step 6: Final answer
    x = 424.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.