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Finding the Fourth Proportional to 460.73, 690.50 and 200.65

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Solution

The fourth proportional to 460.73, 690.50 and 200.65 is: 300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.73 : 690.50 = 200.65 : x
  2. Step 2: Convert to fraction form
    460.73/690.50 = 200.65/x
  3. Step 3: Cross multiply
    460.73x = 690.50 × 200.65
  4. Step 4: Simplify right side
    460.73x = 138,550.27
  5. Step 5: Solve for x
    x = 138,550.27/460.73
  6. Step 6: Final answer
    x = 300.72

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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.