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Finding the Fourth Proportional to 234.28, 322.14 and 210.79

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Solution

The fourth proportional to 234.28, 322.14 and 210.79 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.28 : 322.14 = 210.79 : x
  2. Step 2: Convert to fraction form
    234.28/322.14 = 210.79/x
  3. Step 3: Cross multiply
    234.28x = 322.14 × 210.79
  4. Step 4: Simplify right side
    234.28x = 67,903.89
  5. Step 5: Solve for x
    x = 67,903.89/234.28
  6. Step 6: Final answer
    x = 289.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.