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Finding the Fourth Proportional to 284.70, 427.21 and 187.30

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Solution

The fourth proportional to 284.70, 427.21 and 187.30 is: 281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 427.21 = 187.30 : x
  2. Step 2: Convert to fraction form
    284.70/427.21 = 187.30/x
  3. Step 3: Cross multiply
    284.70x = 427.21 × 187.30
  4. Step 4: Simplify right side
    284.70x = 80,016.50
  5. Step 5: Solve for x
    x = 80,016.50/284.70
  6. Step 6: Final answer
    x = 281.05

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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.