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Finding the Fourth Proportional to 228.96, 316.38 and 163.35

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Solution

The fourth proportional to 228.96, 316.38 and 163.35 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 316.38 = 163.35 : x
  2. Step 2: Convert to fraction form
    228.96/316.38 = 163.35/x
  3. Step 3: Cross multiply
    228.96x = 316.38 × 163.35
  4. Step 4: Simplify right side
    228.96x = 51,679.86
  5. Step 5: Solve for x
    x = 51,679.86/228.96
  6. Step 6: Final answer
    x = 225.72

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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.