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Finding the Fourth Proportional to 226.52, 310.72 and 214.10

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Solution

The fourth proportional to 226.52, 310.72 and 214.10 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.52 : 310.72 = 214.10 : x
  2. Step 2: Convert to fraction form
    226.52/310.72 = 214.10/x
  3. Step 3: Cross multiply
    226.52x = 310.72 × 214.10
  4. Step 4: Simplify right side
    226.52x = 66,525.15
  5. Step 5: Solve for x
    x = 66,525.15/226.52
  6. Step 6: Final answer
    x = 293.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.