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Finding the Fourth Proportional to 284.62, 425.09 and 243.62

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Solution

The fourth proportional to 284.62, 425.09 and 243.62 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.62 : 425.09 = 243.62 : x
  2. Step 2: Convert to fraction form
    284.62/425.09 = 243.62/x
  3. Step 3: Cross multiply
    284.62x = 425.09 × 243.62
  4. Step 4: Simplify right side
    284.62x = 103,559.21
  5. Step 5: Solve for x
    x = 103,559.21/284.62
  6. Step 6: Final answer
    x = 363.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.