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Finding the Fourth Proportional to 232.62, 345.97 and 228.02

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Solution

The fourth proportional to 232.62, 345.97 and 228.02 is: 339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 345.97 = 228.02 : x
  2. Step 2: Convert to fraction form
    232.62/345.97 = 228.02/x
  3. Step 3: Cross multiply
    232.62x = 345.97 × 228.02
  4. Step 4: Simplify right side
    232.62x = 78,886.63
  5. Step 5: Solve for x
    x = 78,886.63/232.62
  6. Step 6: Final answer
    x = 339.12

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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.