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Finding the Fourth Proportional to 284.20, 431.12 and 284.20

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Solution

The fourth proportional to 284.20, 431.12 and 284.20 is: 431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 431.12 = 284.20 : x
  2. Step 2: Convert to fraction form
    284.20/431.12 = 284.20/x
  3. Step 3: Cross multiply
    284.20x = 431.12 × 284.20
  4. Step 4: Simplify right side
    284.20x = 122,524.30
  5. Step 5: Solve for x
    x = 122,524.30/284.20
  6. Step 6: Final answer
    x = 431.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.