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Finding the Fourth Proportional to 460.72, 690.90 and 213.94

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Solution

The fourth proportional to 460.72, 690.90 and 213.94 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 690.90 = 213.94 : x
  2. Step 2: Convert to fraction form
    460.72/690.90 = 213.94/x
  3. Step 3: Cross multiply
    460.72x = 690.90 × 213.94
  4. Step 4: Simplify right side
    460.72x = 147,811.15
  5. Step 5: Solve for x
    x = 147,811.15/460.72
  6. Step 6: Final answer
    x = 320.83

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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.