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Finding the Fourth Proportional to 178.48, 248.01 and 176.30

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Solution

The fourth proportional to 178.48, 248.01 and 176.30 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 248.01 = 176.30 : x
  2. Step 2: Convert to fraction form
    178.48/248.01 = 176.30/x
  3. Step 3: Cross multiply
    178.48x = 248.01 × 176.30
  4. Step 4: Simplify right side
    178.48x = 43,723.19
  5. Step 5: Solve for x
    x = 43,723.19/178.48
  6. Step 6: Final answer
    x = 244.97

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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.