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Finding the Fourth Proportional to 284.70, 394.82 and 266.88

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Solution

The fourth proportional to 284.70, 394.82 and 266.88 is: 370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 394.82 = 266.88 : x
  2. Step 2: Convert to fraction form
    284.70/394.82 = 266.88/x
  3. Step 3: Cross multiply
    284.70x = 394.82 × 266.88
  4. Step 4: Simplify right side
    284.70x = 105,369.56
  5. Step 5: Solve for x
    x = 105,369.56/284.70
  6. Step 6: Final answer
    x = 370.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.