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Finding the Fourth Proportional to 234.72, 350.34 and 210.36

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Solution

The fourth proportional to 234.72, 350.34 and 210.36 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 350.34 = 210.36 : x
  2. Step 2: Convert to fraction form
    234.72/350.34 = 210.36/x
  3. Step 3: Cross multiply
    234.72x = 350.34 × 210.36
  4. Step 4: Simplify right side
    234.72x = 73,697.52
  5. Step 5: Solve for x
    x = 73,697.52/234.72
  6. Step 6: Final answer
    x = 313.98

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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.