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Finding the Fourth Proportional to 460.28, 690.72 and 203.80

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Solution

The fourth proportional to 460.28, 690.72 and 203.80 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 690.72 = 203.80 : x
  2. Step 2: Convert to fraction form
    460.28/690.72 = 203.80/x
  3. Step 3: Cross multiply
    460.28x = 690.72 × 203.80
  4. Step 4: Simplify right side
    460.28x = 140,768.74
  5. Step 5: Solve for x
    x = 140,768.74/460.28
  6. Step 6: Final answer
    x = 305.83

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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.