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Finding the Fourth Proportional to 431.38, 649.78 and 351.19

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Solution

The fourth proportional to 431.38, 649.78 and 351.19 is: 528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.38 : 649.78 = 351.19 : x
  2. Step 2: Convert to fraction form
    431.38/649.78 = 351.19/x
  3. Step 3: Cross multiply
    431.38x = 649.78 × 351.19
  4. Step 4: Simplify right side
    431.38x = 228,196.24
  5. Step 5: Solve for x
    x = 228,196.24/431.38
  6. Step 6: Final answer
    x = 528.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.