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Finding the Fourth Proportional to 494.19, 682.08 and 297.72

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Solution

The fourth proportional to 494.19, 682.08 and 297.72 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 682.08 = 297.72 : x
  2. Step 2: Convert to fraction form
    494.19/682.08 = 297.72/x
  3. Step 3: Cross multiply
    494.19x = 682.08 × 297.72
  4. Step 4: Simplify right side
    494.19x = 203,068.86
  5. Step 5: Solve for x
    x = 203,068.86/494.19
  6. Step 6: Final answer
    x = 410.91

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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.