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Finding the Fourth Proportional to 178.21, 247.62 and 176.31

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Solution

The fourth proportional to 178.21, 247.62 and 176.31 is: 244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.21 : 247.62 = 176.31 : x
  2. Step 2: Convert to fraction form
    178.21/247.62 = 176.31/x
  3. Step 3: Cross multiply
    178.21x = 247.62 × 176.31
  4. Step 4: Simplify right side
    178.21x = 43,657.88
  5. Step 5: Solve for x
    x = 43,657.88/178.21
  6. Step 6: Final answer
    x = 244.98

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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.