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Finding the Fourth Proportional to 494.15, 681.54 and 361.35

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Solution

The fourth proportional to 494.15, 681.54 and 361.35 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.15 : 681.54 = 361.35 : x
  2. Step 2: Convert to fraction form
    494.15/681.54 = 361.35/x
  3. Step 3: Cross multiply
    494.15x = 681.54 × 361.35
  4. Step 4: Simplify right side
    494.15x = 246,274.48
  5. Step 5: Solve for x
    x = 246,274.48/494.15
  6. Step 6: Final answer
    x = 498.39

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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.