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Finding the Fourth Proportional to 232.70, 318.98 and 228.56

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Solution

The fourth proportional to 232.70, 318.98 and 228.56 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 318.98 = 228.56 : x
  2. Step 2: Convert to fraction form
    232.70/318.98 = 228.56/x
  3. Step 3: Cross multiply
    232.70x = 318.98 × 228.56
  4. Step 4: Simplify right side
    232.70x = 72,905.05
  5. Step 5: Solve for x
    x = 72,905.05/232.70
  6. Step 6: Final answer
    x = 313.31

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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.