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Finding the Fourth Proportional to 230.72, 318.96 and 228.69

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Solution

The fourth proportional to 230.72, 318.96 and 228.69 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 318.96 = 228.69 : x
  2. Step 2: Convert to fraction form
    230.72/318.96 = 228.69/x
  3. Step 3: Cross multiply
    230.72x = 318.96 × 228.69
  4. Step 4: Simplify right side
    230.72x = 72,942.96
  5. Step 5: Solve for x
    x = 72,942.96/230.72
  6. Step 6: Final answer
    x = 316.16

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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.