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Finding the Fourth Proportional to 460.27, 690.57 and 213.59

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Solution

The fourth proportional to 460.27, 690.57 and 213.59 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 690.57 = 213.59 : x
  2. Step 2: Convert to fraction form
    460.27/690.57 = 213.59/x
  3. Step 3: Cross multiply
    460.27x = 690.57 × 213.59
  4. Step 4: Simplify right side
    460.27x = 147,497.98
  5. Step 5: Solve for x
    x = 147,497.98/460.27
  6. Step 6: Final answer
    x = 320.46

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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.