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Finding the Fourth Proportional to 494.15, 682.22 and 307.88

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Solution

The fourth proportional to 494.15, 682.22 and 307.88 is: 425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.15 : 682.22 = 307.88 : x
  2. Step 2: Convert to fraction form
    494.15/682.22 = 307.88/x
  3. Step 3: Cross multiply
    494.15x = 682.22 × 307.88
  4. Step 4: Simplify right side
    494.15x = 210,040.35
  5. Step 5: Solve for x
    x = 210,040.35/494.15
  6. Step 6: Final answer
    x = 425.05

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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.