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Finding the Fourth Proportional to 232.16, 346.36 and 211.20

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Solution

The fourth proportional to 232.16, 346.36 and 211.20 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 346.36 = 211.20 : x
  2. Step 2: Convert to fraction form
    232.16/346.36 = 211.20/x
  3. Step 3: Cross multiply
    232.16x = 346.36 × 211.20
  4. Step 4: Simplify right side
    232.16x = 73,151.23
  5. Step 5: Solve for x
    x = 73,151.23/232.16
  6. Step 6: Final answer
    x = 315.09

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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.