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Finding the Fourth Proportional to 492.30, 742.19 and 492.30

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Solution

The fourth proportional to 492.30, 742.19 and 492.30 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 742.19 = 492.30 : x
  2. Step 2: Convert to fraction form
    492.30/742.19 = 492.30/x
  3. Step 3: Cross multiply
    492.30x = 742.19 × 492.30
  4. Step 4: Simplify right side
    492.30x = 365,377.68
  5. Step 5: Solve for x
    x = 365,377.68/492.30
  6. Step 6: Final answer
    x = 742.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.