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Finding the Fourth Proportional to 178.34, 268.58 and 133

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Solution

The fourth proportional to 178.34, 268.58 and 133 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 268.58 = 133 : x
  2. Step 2: Convert to fraction form
    178.34/268.58 = 133/x
  3. Step 3: Cross multiply
    178.34x = 268.58 × 133
  4. Step 4: Simplify right side
    178.34x = 35,721.14
  5. Step 5: Solve for x
    x = 35,721.14/178.34
  6. Step 6: Final answer
    x = 200.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.