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Finding the Fourth Proportional to 284.15, 426.54 and 232.88

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Solution

The fourth proportional to 284.15, 426.54 and 232.88 is: 349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 426.54 = 232.88 : x
  2. Step 2: Convert to fraction form
    284.15/426.54 = 232.88/x
  3. Step 3: Cross multiply
    284.15x = 426.54 × 232.88
  4. Step 4: Simplify right side
    284.15x = 99,330.50
  5. Step 5: Solve for x
    x = 99,330.50/284.15
  6. Step 6: Final answer
    x = 349.58

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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.