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Finding the Fourth Proportional to 460.69, 690.64 and 200.49

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Solution

The fourth proportional to 460.69, 690.64 and 200.49 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 690.64 = 200.49 : x
  2. Step 2: Convert to fraction form
    460.69/690.64 = 200.49/x
  3. Step 3: Cross multiply
    460.69x = 690.64 × 200.49
  4. Step 4: Simplify right side
    460.69x = 138,466.41
  5. Step 5: Solve for x
    x = 138,466.41/460.69
  6. Step 6: Final answer
    x = 300.56

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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.