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Finding the Fourth Proportional to 496.65, 744.90 and 204.09

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Solution

The fourth proportional to 496.65, 744.90 and 204.09 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.65 : 744.90 = 204.09 : x
  2. Step 2: Convert to fraction form
    496.65/744.90 = 204.09/x
  3. Step 3: Cross multiply
    496.65x = 744.90 × 204.09
  4. Step 4: Simplify right side
    496.65x = 152,026.64
  5. Step 5: Solve for x
    x = 152,026.64/496.65
  6. Step 6: Final answer
    x = 306.10

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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.