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Finding the Fourth Proportional to 312.80, 471.10 and 284.24

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Solution

The fourth proportional to 312.80, 471.10 and 284.24 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 471.10 = 284.24 : x
  2. Step 2: Convert to fraction form
    312.80/471.10 = 284.24/x
  3. Step 3: Cross multiply
    312.80x = 471.10 × 284.24
  4. Step 4: Simplify right side
    312.80x = 133,905.46
  5. Step 5: Solve for x
    x = 133,905.46/312.80
  6. Step 6: Final answer
    x = 428.09

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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.