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Finding the Fourth Proportional to 492.30, 738.65 and 309.65

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Solution

The fourth proportional to 492.30, 738.65 and 309.65 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 738.65 = 309.65 : x
  2. Step 2: Convert to fraction form
    492.30/738.65 = 309.65/x
  3. Step 3: Cross multiply
    492.30x = 738.65 × 309.65
  4. Step 4: Simplify right side
    492.30x = 228,720.05
  5. Step 5: Solve for x
    x = 228,720.05/492.30
  6. Step 6: Final answer
    x = 464.59

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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.