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Finding the Fourth Proportional to 500.23, 690.38 and 300.97

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Solution

The fourth proportional to 500.23, 690.38 and 300.97 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.23 : 690.38 = 300.97 : x
  2. Step 2: Convert to fraction form
    500.23/690.38 = 300.97/x
  3. Step 3: Cross multiply
    500.23x = 690.38 × 300.97
  4. Step 4: Simplify right side
    500.23x = 207,778.71
  5. Step 5: Solve for x
    x = 207,778.71/500.23
  6. Step 6: Final answer
    x = 415.37

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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.