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Finding the Fourth Proportional to 178.48, 246.43 and 123.31

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Solution

The fourth proportional to 178.48, 246.43 and 123.31 is: 170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 246.43 = 123.31 : x
  2. Step 2: Convert to fraction form
    178.48/246.43 = 123.31/x
  3. Step 3: Cross multiply
    178.48x = 246.43 × 123.31
  4. Step 4: Simplify right side
    178.48x = 30,387.28
  5. Step 5: Solve for x
    x = 30,387.28/178.48
  6. Step 6: Final answer
    x = 170.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.