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Finding the Fourth Proportional to 284.33, 425.46 and 235.13

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Solution

The fourth proportional to 284.33, 425.46 and 235.13 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.33 : 425.46 = 235.13 : x
  2. Step 2: Convert to fraction form
    284.33/425.46 = 235.13/x
  3. Step 3: Cross multiply
    284.33x = 425.46 × 235.13
  4. Step 4: Simplify right side
    284.33x = 100,036.28
  5. Step 5: Solve for x
    x = 100,036.28/284.33
  6. Step 6: Final answer
    x = 351.84

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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.