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Finding the Fourth Proportional to 492.27, 679.16 and 305.57

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Solution

The fourth proportional to 492.27, 679.16 and 305.57 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.27 : 679.16 = 305.57 : x
  2. Step 2: Convert to fraction form
    492.27/679.16 = 305.57/x
  3. Step 3: Cross multiply
    492.27x = 679.16 × 305.57
  4. Step 4: Simplify right side
    492.27x = 207,530.92
  5. Step 5: Solve for x
    x = 207,530.92/492.27
  6. Step 6: Final answer
    x = 421.58

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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.