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Finding the Fourth Proportional to 232.80, 347.26 and 228.48

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Solution

The fourth proportional to 232.80, 347.26 and 228.48 is: 340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 347.26 = 228.48 : x
  2. Step 2: Convert to fraction form
    232.80/347.26 = 228.48/x
  3. Step 3: Cross multiply
    232.80x = 347.26 × 228.48
  4. Step 4: Simplify right side
    232.80x = 79,341.96
  5. Step 5: Solve for x
    x = 79,341.96/232.80
  6. Step 6: Final answer
    x = 340.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.