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Finding the Fourth Proportional to 232.89, 346.38 and 228.03

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Solution

The fourth proportional to 232.89, 346.38 and 228.03 is: 339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 346.38 = 228.03 : x
  2. Step 2: Convert to fraction form
    232.89/346.38 = 228.03/x
  3. Step 3: Cross multiply
    232.89x = 346.38 × 228.03
  4. Step 4: Simplify right side
    232.89x = 78,985.03
  5. Step 5: Solve for x
    x = 78,985.03/232.89
  6. Step 6: Final answer
    x = 339.15

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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.