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Finding the Fourth Proportional to 178.91, 245.26 and 176.07

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Solution

The fourth proportional to 178.91, 245.26 and 176.07 is: 241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.91 : 245.26 = 176.07 : x
  2. Step 2: Convert to fraction form
    178.91/245.26 = 176.07/x
  3. Step 3: Cross multiply
    178.91x = 245.26 × 176.07
  4. Step 4: Simplify right side
    178.91x = 43,182.93
  5. Step 5: Solve for x
    x = 43,182.93/178.91
  6. Step 6: Final answer
    x = 241.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.