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Finding the Fourth Proportional to 178.56, 248.16 and 176.64

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Solution

The fourth proportional to 178.56, 248.16 and 176.64 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 248.16 = 176.64 : x
  2. Step 2: Convert to fraction form
    178.56/248.16 = 176.64/x
  3. Step 3: Cross multiply
    178.56x = 248.16 × 176.64
  4. Step 4: Simplify right side
    178.56x = 43,834.98
  5. Step 5: Solve for x
    x = 43,834.98/178.56
  6. Step 6: Final answer
    x = 245.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.