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Finding the Fourth Proportional to 284.55, 426.91 and 235.58

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Solution

The fourth proportional to 284.55, 426.91 and 235.58 is: 353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 426.91 = 235.58 : x
  2. Step 2: Convert to fraction form
    284.55/426.91 = 235.58/x
  3. Step 3: Cross multiply
    284.55x = 426.91 × 235.58
  4. Step 4: Simplify right side
    284.55x = 100,568.15
  5. Step 5: Solve for x
    x = 100,568.15/284.55
  6. Step 6: Final answer
    x = 353.43

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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.