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Finding the Fourth Proportional to 284.94, 427.41 and 92.57

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Solution

The fourth proportional to 284.94, 427.41 and 92.57 is: 138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.94 : 427.41 = 92.57 : x
  2. Step 2: Convert to fraction form
    284.94/427.41 = 92.57/x
  3. Step 3: Cross multiply
    284.94x = 427.41 × 92.57
  4. Step 4: Simplify right side
    284.94x = 39,562.74
  5. Step 5: Solve for x
    x = 39,562.74/284.94
  6. Step 6: Final answer
    x = 138.85

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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.