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Finding the Fourth Proportional to 284.26, 426.58 and 219.02

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Solution

The fourth proportional to 284.26, 426.58 and 219.02 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.58 = 219.02 : x
  2. Step 2: Convert to fraction form
    284.26/426.58 = 219.02/x
  3. Step 3: Cross multiply
    284.26x = 426.58 × 219.02
  4. Step 4: Simplify right side
    284.26x = 93,429.55
  5. Step 5: Solve for x
    x = 93,429.55/284.26
  6. Step 6: Final answer
    x = 328.68

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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.