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Finding the Fourth Proportional to 234.15, 322.56 and 178.84

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Solution

The fourth proportional to 234.15, 322.56 and 178.84 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.15 : 322.56 = 178.84 : x
  2. Step 2: Convert to fraction form
    234.15/322.56 = 178.84/x
  3. Step 3: Cross multiply
    234.15x = 322.56 × 178.84
  4. Step 4: Simplify right side
    234.15x = 57,686.63
  5. Step 5: Solve for x
    x = 57,686.63/234.15
  6. Step 6: Final answer
    x = 246.37

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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.