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Finding the Fourth Proportional to 234.16, 322.84 and 160.35

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Solution

The fourth proportional to 234.16, 322.84 and 160.35 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 322.84 = 160.35 : x
  2. Step 2: Convert to fraction form
    234.16/322.84 = 160.35/x
  3. Step 3: Cross multiply
    234.16x = 322.84 × 160.35
  4. Step 4: Simplify right side
    234.16x = 51,766.99
  5. Step 5: Solve for x
    x = 51,766.99/234.16
  6. Step 6: Final answer
    x = 221.08

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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.