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Finding the Fourth Proportional to 638.96, 957.80 and 228

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Solution

The fourth proportional to 638.96, 957.80 and 228 is: 341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 957.80 = 228 : x
  2. Step 2: Convert to fraction form
    638.96/957.80 = 228/x
  3. Step 3: Cross multiply
    638.96x = 957.80 × 228
  4. Step 4: Simplify right side
    638.96x = 218,378.40
  5. Step 5: Solve for x
    x = 218,378.40/638.96
  6. Step 6: Final answer
    x = 341.77

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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.