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Finding the Fourth Proportional to 284.92, 392.96 and 186.80

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Solution

The fourth proportional to 284.92, 392.96 and 186.80 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 392.96 = 186.80 : x
  2. Step 2: Convert to fraction form
    284.92/392.96 = 186.80/x
  3. Step 3: Cross multiply
    284.92x = 392.96 × 186.80
  4. Step 4: Simplify right side
    284.92x = 73,404.93
  5. Step 5: Solve for x
    x = 73,404.93/284.92
  6. Step 6: Final answer
    x = 257.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.