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Finding the Fourth Proportional to 492.39, 679.32 and 305.91

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Solution

The fourth proportional to 492.39, 679.32 and 305.91 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 679.32 = 305.91 : x
  2. Step 2: Convert to fraction form
    492.39/679.32 = 305.91/x
  3. Step 3: Cross multiply
    492.39x = 679.32 × 305.91
  4. Step 4: Simplify right side
    492.39x = 207,810.78
  5. Step 5: Solve for x
    x = 207,810.78/492.39
  6. Step 6: Final answer
    x = 422.05

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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.