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Finding the Fourth Proportional to 492.80, 738.96 and 236

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Solution

The fourth proportional to 492.80, 738.96 and 236 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 738.96 = 236 : x
  2. Step 2: Convert to fraction form
    492.80/738.96 = 236/x
  3. Step 3: Cross multiply
    492.80x = 738.96 × 236
  4. Step 4: Simplify right side
    492.80x = 174,394.56
  5. Step 5: Solve for x
    x = 174,394.56/492.80
  6. Step 6: Final answer
    x = 353.89

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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.