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Finding the Fourth Proportional to 234.81, 350.28 and 210.51

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Solution

The fourth proportional to 234.81, 350.28 and 210.51 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 350.28 = 210.51 : x
  2. Step 2: Convert to fraction form
    234.81/350.28 = 210.51/x
  3. Step 3: Cross multiply
    234.81x = 350.28 × 210.51
  4. Step 4: Simplify right side
    234.81x = 73,737.44
  5. Step 5: Solve for x
    x = 73,737.44/234.81
  6. Step 6: Final answer
    x = 314.03

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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.