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Finding the Fourth Proportional to 228.57, 317.04 and 220.38

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Solution

The fourth proportional to 228.57, 317.04 and 220.38 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 317.04 = 220.38 : x
  2. Step 2: Convert to fraction form
    228.57/317.04 = 220.38/x
  3. Step 3: Cross multiply
    228.57x = 317.04 × 220.38
  4. Step 4: Simplify right side
    228.57x = 69,869.28
  5. Step 5: Solve for x
    x = 69,869.28/228.57
  6. Step 6: Final answer
    x = 305.68

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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.