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Finding the Fourth Proportional to 232.34, 346.86 and 210.81

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Solution

The fourth proportional to 232.34, 346.86 and 210.81 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 346.86 = 210.81 : x
  2. Step 2: Convert to fraction form
    232.34/346.86 = 210.81/x
  3. Step 3: Cross multiply
    232.34x = 346.86 × 210.81
  4. Step 4: Simplify right side
    232.34x = 73,121.56
  5. Step 5: Solve for x
    x = 73,121.56/232.34
  6. Step 6: Final answer
    x = 314.72

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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.