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Finding the Fourth Proportional to 361.49, 497.58 and 319.97

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Solution

The fourth proportional to 361.49, 497.58 and 319.97 is: 440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.49 : 497.58 = 319.97 : x
  2. Step 2: Convert to fraction form
    361.49/497.58 = 319.97/x
  3. Step 3: Cross multiply
    361.49x = 497.58 × 319.97
  4. Step 4: Simplify right side
    361.49x = 159,208.18
  5. Step 5: Solve for x
    x = 159,208.18/361.49
  6. Step 6: Final answer
    x = 440.43

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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.