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Finding the Fourth Proportional to 492.92, 739.29 and 146.25

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Solution

The fourth proportional to 492.92, 739.29 and 146.25 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 739.29 = 146.25 : x
  2. Step 2: Convert to fraction form
    492.92/739.29 = 146.25/x
  3. Step 3: Cross multiply
    492.92x = 739.29 × 146.25
  4. Step 4: Simplify right side
    492.92x = 108,117.47
  5. Step 5: Solve for x
    x = 108,117.47/492.92
  6. Step 6: Final answer
    x = 219.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.