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Finding the Fourth Proportional to 460.11, 690.33 and 213.43

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Solution

The fourth proportional to 460.11, 690.33 and 213.43 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 690.33 = 213.43 : x
  2. Step 2: Convert to fraction form
    460.11/690.33 = 213.43/x
  3. Step 3: Cross multiply
    460.11x = 690.33 × 213.43
  4. Step 4: Simplify right side
    460.11x = 147,337.13
  5. Step 5: Solve for x
    x = 147,337.13/460.11
  6. Step 6: Final answer
    x = 320.22

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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.