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Finding the Fourth Proportional to 180.48, 248.50 and 157.48

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Solution

The fourth proportional to 180.48, 248.50 and 157.48 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 248.50 = 157.48 : x
  2. Step 2: Convert to fraction form
    180.48/248.50 = 157.48/x
  3. Step 3: Cross multiply
    180.48x = 248.50 × 157.48
  4. Step 4: Simplify right side
    180.48x = 39,133.78
  5. Step 5: Solve for x
    x = 39,133.78/180.48
  6. Step 6: Final answer
    x = 216.83

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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.