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Finding the Fourth Proportional to 284.26, 426.40 and 78.84

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Solution

The fourth proportional to 284.26, 426.40 and 78.84 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.40 = 78.84 : x
  2. Step 2: Convert to fraction form
    284.26/426.40 = 78.84/x
  3. Step 3: Cross multiply
    284.26x = 426.40 × 78.84
  4. Step 4: Simplify right side
    284.26x = 33,617.38
  5. Step 5: Solve for x
    x = 33,617.38/284.26
  6. Step 6: Final answer
    x = 118.26

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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.