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Finding the Fourth Proportional to 331.42, 457.63 and 296.39

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Solution

The fourth proportional to 331.42, 457.63 and 296.39 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.42 : 457.63 = 296.39 : x
  2. Step 2: Convert to fraction form
    331.42/457.63 = 296.39/x
  3. Step 3: Cross multiply
    331.42x = 457.63 × 296.39
  4. Step 4: Simplify right side
    331.42x = 135,634.67
  5. Step 5: Solve for x
    x = 135,634.67/331.42
  6. Step 6: Final answer
    x = 409.25

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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.