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Finding the Fourth Proportional to 494.39, 682.58 and 307.95

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Solution

The fourth proportional to 494.39, 682.58 and 307.95 is: 425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 682.58 = 307.95 : x
  2. Step 2: Convert to fraction form
    494.39/682.58 = 307.95/x
  3. Step 3: Cross multiply
    494.39x = 682.58 × 307.95
  4. Step 4: Simplify right side
    494.39x = 210,201.28
  5. Step 5: Solve for x
    x = 210,201.28/494.39
  6. Step 6: Final answer
    x = 425.18

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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.