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Finding the Fourth Proportional to 228.88, 316.02 and 205.52

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Solution

The fourth proportional to 228.88, 316.02 and 205.52 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.88 : 316.02 = 205.52 : x
  2. Step 2: Convert to fraction form
    228.88/316.02 = 205.52/x
  3. Step 3: Cross multiply
    228.88x = 316.02 × 205.52
  4. Step 4: Simplify right side
    228.88x = 64,948.43
  5. Step 5: Solve for x
    x = 64,948.43/228.88
  6. Step 6: Final answer
    x = 283.77

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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.