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Finding the Fourth Proportional to 431.21, 649.25 and 380.18

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Solution

The fourth proportional to 431.21, 649.25 and 380.18 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.21 : 649.25 = 380.18 : x
  2. Step 2: Convert to fraction form
    431.21/649.25 = 380.18/x
  3. Step 3: Cross multiply
    431.21x = 649.25 × 380.18
  4. Step 4: Simplify right side
    431.21x = 246,831.87
  5. Step 5: Solve for x
    x = 246,831.87/431.21
  6. Step 6: Final answer
    x = 572.42

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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.