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Finding the Fourth Proportional to 460.25, 689.75 and 213.31

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Solution

The fourth proportional to 460.25, 689.75 and 213.31 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 689.75 = 213.31 : x
  2. Step 2: Convert to fraction form
    460.25/689.75 = 213.31/x
  3. Step 3: Cross multiply
    460.25x = 689.75 × 213.31
  4. Step 4: Simplify right side
    460.25x = 147,130.57
  5. Step 5: Solve for x
    x = 147,130.57/460.25
  6. Step 6: Final answer
    x = 319.68

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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.