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Finding the Fourth Proportional to 177.30, 246.38 and 176.58

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Solution

The fourth proportional to 177.30, 246.38 and 176.58 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 246.38 = 176.58 : x
  2. Step 2: Convert to fraction form
    177.30/246.38 = 176.58/x
  3. Step 3: Cross multiply
    177.30x = 246.38 × 176.58
  4. Step 4: Simplify right side
    177.30x = 43,504.90
  5. Step 5: Solve for x
    x = 43,504.90/177.30
  6. Step 6: Final answer
    x = 245.37

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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.