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Finding the Fourth Proportional to 492.52, 679.92 and 306.10

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Solution

The fourth proportional to 492.52, 679.92 and 306.10 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 679.92 = 306.10 : x
  2. Step 2: Convert to fraction form
    492.52/679.92 = 306.10/x
  3. Step 3: Cross multiply
    492.52x = 679.92 × 306.10
  4. Step 4: Simplify right side
    492.52x = 208,123.51
  5. Step 5: Solve for x
    x = 208,123.51/492.52
  6. Step 6: Final answer
    x = 422.57

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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.