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Finding the Fourth Proportional to 284.80, 427.42 and 203.70

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Solution

The fourth proportional to 284.80, 427.42 and 203.70 is: 305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 427.42 = 203.70 : x
  2. Step 2: Convert to fraction form
    284.80/427.42 = 203.70/x
  3. Step 3: Cross multiply
    284.80x = 427.42 × 203.70
  4. Step 4: Simplify right side
    284.80x = 87,065.45
  5. Step 5: Solve for x
    x = 87,065.45/284.80
  6. Step 6: Final answer
    x = 305.71

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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.