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Finding the Fourth Proportional to 228.77, 340.87 and 204.54

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Solution

The fourth proportional to 228.77, 340.87 and 204.54 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.77 : 340.87 = 204.54 : x
  2. Step 2: Convert to fraction form
    228.77/340.87 = 204.54/x
  3. Step 3: Cross multiply
    228.77x = 340.87 × 204.54
  4. Step 4: Simplify right side
    228.77x = 69,721.55
  5. Step 5: Solve for x
    x = 69,721.55/228.77
  6. Step 6: Final answer
    x = 304.77

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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.