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Finding the Fourth Proportional to 500.38, 690.32 and 352.96

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Solution

The fourth proportional to 500.38, 690.32 and 352.96 is: 486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 690.32 = 352.96 : x
  2. Step 2: Convert to fraction form
    500.38/690.32 = 352.96/x
  3. Step 3: Cross multiply
    500.38x = 690.32 × 352.96
  4. Step 4: Simplify right side
    500.38x = 243,654.50
  5. Step 5: Solve for x
    x = 243,654.50/500.38
  6. Step 6: Final answer
    x = 486.94

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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.