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Finding the Fourth Proportional to 234.19, 322.72 and 209.25

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Solution

The fourth proportional to 234.19, 322.72 and 209.25 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.19 : 322.72 = 209.25 : x
  2. Step 2: Convert to fraction form
    234.19/322.72 = 209.25/x
  3. Step 3: Cross multiply
    234.19x = 322.72 × 209.25
  4. Step 4: Simplify right side
    234.19x = 67,526.83
  5. Step 5: Solve for x
    x = 67,526.83/234.19
  6. Step 6: Final answer
    x = 288.34

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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.