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Finding the Fourth Proportional to 431.42, 649.44 and 371.88

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Solution

The fourth proportional to 431.42, 649.44 and 371.88 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 649.44 = 371.88 : x
  2. Step 2: Convert to fraction form
    431.42/649.44 = 371.88/x
  3. Step 3: Cross multiply
    431.42x = 649.44 × 371.88
  4. Step 4: Simplify right side
    431.42x = 241,513.75
  5. Step 5: Solve for x
    x = 241,513.75/431.42
  6. Step 6: Final answer
    x = 559.81

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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.