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Finding the Fourth Proportional to 284.58, 425.03 and 243.56

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Solution

The fourth proportional to 284.58, 425.03 and 243.56 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 425.03 = 243.56 : x
  2. Step 2: Convert to fraction form
    284.58/425.03 = 243.56/x
  3. Step 3: Cross multiply
    284.58x = 425.03 × 243.56
  4. Step 4: Simplify right side
    284.58x = 103,520.15
  5. Step 5: Solve for x
    x = 103,520.15/284.58
  6. Step 6: Final answer
    x = 363.76

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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.