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Finding the Fourth Proportional to 178.43, 268.72 and 157.00

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Solution

The fourth proportional to 178.43, 268.72 and 157.00 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.43 : 268.72 = 157.00 : x
  2. Step 2: Convert to fraction form
    178.43/268.72 = 157.00/x
  3. Step 3: Cross multiply
    178.43x = 268.72 × 157.00
  4. Step 4: Simplify right side
    178.43x = 42,188.73
  5. Step 5: Solve for x
    x = 42,188.73/178.43
  6. Step 6: Final answer
    x = 236.44

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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.