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Finding the Fourth Proportional to 500.32, 690.68 and 290.46

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Solution

The fourth proportional to 500.32, 690.68 and 290.46 is: 400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 690.68 = 290.46 : x
  2. Step 2: Convert to fraction form
    500.32/690.68 = 290.46/x
  3. Step 3: Cross multiply
    500.32x = 690.68 × 290.46
  4. Step 4: Simplify right side
    500.32x = 200,610.92
  5. Step 5: Solve for x
    x = 200,610.92/500.32
  6. Step 6: Final answer
    x = 400.97

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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.