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Finding the Fourth Proportional to 226.58, 314.24 and 215.60

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Solution

The fourth proportional to 226.58, 314.24 and 215.60 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 314.24 = 215.60 : x
  2. Step 2: Convert to fraction form
    226.58/314.24 = 215.60/x
  3. Step 3: Cross multiply
    226.58x = 314.24 × 215.60
  4. Step 4: Simplify right side
    226.58x = 67,750.14
  5. Step 5: Solve for x
    x = 67,750.14/226.58
  6. Step 6: Final answer
    x = 299.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.