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Finding the Fourth Proportional to 431.39, 649.61 and 310.49

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Solution

The fourth proportional to 431.39, 649.61 and 310.49 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.39 : 649.61 = 310.49 : x
  2. Step 2: Convert to fraction form
    431.39/649.61 = 310.49/x
  3. Step 3: Cross multiply
    431.39x = 649.61 × 310.49
  4. Step 4: Simplify right side
    431.39x = 201,697.41
  5. Step 5: Solve for x
    x = 201,697.41/431.39
  6. Step 6: Final answer
    x = 467.55

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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.