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Finding the Fourth Proportional to 284.32, 425.92 and 188

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Solution

The fourth proportional to 284.32, 425.92 and 188 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 425.92 = 188 : x
  2. Step 2: Convert to fraction form
    284.32/425.92 = 188/x
  3. Step 3: Cross multiply
    284.32x = 425.92 × 188
  4. Step 4: Simplify right side
    284.32x = 80,072.96
  5. Step 5: Solve for x
    x = 80,072.96/284.32
  6. Step 6: Final answer
    x = 281.63

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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.