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Finding the Fourth Proportional to 362.44, 499.20 and 284.68

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Solution

The fourth proportional to 362.44, 499.20 and 284.68 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 499.20 = 284.68 : x
  2. Step 2: Convert to fraction form
    362.44/499.20 = 284.68/x
  3. Step 3: Cross multiply
    362.44x = 499.20 × 284.68
  4. Step 4: Simplify right side
    362.44x = 142,112.26
  5. Step 5: Solve for x
    x = 142,112.26/362.44
  6. Step 6: Final answer
    x = 392.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.