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Finding the Fourth Proportional to 494.31, 681.69 and 355.32

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Solution

The fourth proportional to 494.31, 681.69 and 355.32 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 681.69 = 355.32 : x
  2. Step 2: Convert to fraction form
    494.31/681.69 = 355.32/x
  3. Step 3: Cross multiply
    494.31x = 681.69 × 355.32
  4. Step 4: Simplify right side
    494.31x = 242,218.09
  5. Step 5: Solve for x
    x = 242,218.09/494.31
  6. Step 6: Final answer
    x = 490.01

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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.