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Finding the Fourth Proportional to 234, 322.80 and 175.76

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Solution

The fourth proportional to 234, 322.80 and 175.76 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 322.80 = 175.76 : x
  2. Step 2: Convert to fraction form
    234/322.80 = 175.76/x
  3. Step 3: Cross multiply
    234x = 322.80 × 175.76
  4. Step 4: Simplify right side
    234x = 56,735.33
  5. Step 5: Solve for x
    x = 56,735.33/234
  6. Step 6: Final answer
    x = 242.46

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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.