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Finding the Fourth Proportional to 228.96, 340.74 and 220.32

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Solution

The fourth proportional to 228.96, 340.74 and 220.32 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 340.74 = 220.32 : x
  2. Step 2: Convert to fraction form
    228.96/340.74 = 220.32/x
  3. Step 3: Cross multiply
    228.96x = 340.74 × 220.32
  4. Step 4: Simplify right side
    228.96x = 75,071.84
  5. Step 5: Solve for x
    x = 75,071.84/228.96
  6. Step 6: Final answer
    x = 327.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.