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Finding the Fourth Proportional to 284.61, 426.93 and 233.70

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Solution

The fourth proportional to 284.61, 426.93 and 233.70 is: 350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 426.93 = 233.70 : x
  2. Step 2: Convert to fraction form
    284.61/426.93 = 233.70/x
  3. Step 3: Cross multiply
    284.61x = 426.93 × 233.70
  4. Step 4: Simplify right side
    284.61x = 99,773.54
  5. Step 5: Solve for x
    x = 99,773.54/284.61
  6. Step 6: Final answer
    x = 350.56

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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.