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Finding the Fourth Proportional to 362.22, 539.63 and 344.81

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Solution

The fourth proportional to 362.22, 539.63 and 344.81 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.22 : 539.63 = 344.81 : x
  2. Step 2: Convert to fraction form
    362.22/539.63 = 344.81/x
  3. Step 3: Cross multiply
    362.22x = 539.63 × 344.81
  4. Step 4: Simplify right side
    362.22x = 186,065.40
  5. Step 5: Solve for x
    x = 186,065.40/362.22
  6. Step 6: Final answer
    x = 513.68

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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.