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Finding the Fourth Proportional to 492.72, 738 and 310.20

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Solution

The fourth proportional to 492.72, 738 and 310.20 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 738 = 310.20 : x
  2. Step 2: Convert to fraction form
    492.72/738 = 310.20/x
  3. Step 3: Cross multiply
    492.72x = 738 × 310.20
  4. Step 4: Simplify right side
    492.72x = 228,927.60
  5. Step 5: Solve for x
    x = 228,927.60/492.72
  6. Step 6: Final answer
    x = 464.62

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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.