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Finding the Fourth Proportional to 232.29, 318.47 and 228.21

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Solution

The fourth proportional to 232.29, 318.47 and 228.21 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 318.47 = 228.21 : x
  2. Step 2: Convert to fraction form
    232.29/318.47 = 228.21/x
  3. Step 3: Cross multiply
    232.29x = 318.47 × 228.21
  4. Step 4: Simplify right side
    232.29x = 72,676.90
  5. Step 5: Solve for x
    x = 72,676.90/232.29
  6. Step 6: Final answer
    x = 312.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.