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Finding the Fourth Proportional to 500.09, 690.17 and 290.33

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Solution

The fourth proportional to 500.09, 690.17 and 290.33 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 690.17 = 290.33 : x
  2. Step 2: Convert to fraction form
    500.09/690.17 = 290.33/x
  3. Step 3: Cross multiply
    500.09x = 690.17 × 290.33
  4. Step 4: Simplify right side
    500.09x = 200,372.15
  5. Step 5: Solve for x
    x = 200,372.15/500.09
  6. Step 6: Final answer
    x = 400.67

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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.