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Finding the Fourth Proportional to 228.38, 315.24 and 204.08

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Solution

The fourth proportional to 228.38, 315.24 and 204.08 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.38 : 315.24 = 204.08 : x
  2. Step 2: Convert to fraction form
    228.38/315.24 = 204.08/x
  3. Step 3: Cross multiply
    228.38x = 315.24 × 204.08
  4. Step 4: Simplify right side
    228.38x = 64,334.18
  5. Step 5: Solve for x
    x = 64,334.18/228.38
  6. Step 6: Final answer
    x = 281.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.