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Finding the Fourth Proportional to 248.47, 372.84 and 120.22

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Solution

The fourth proportional to 248.47, 372.84 and 120.22 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 372.84 = 120.22 : x
  2. Step 2: Convert to fraction form
    248.47/372.84 = 120.22/x
  3. Step 3: Cross multiply
    248.47x = 372.84 × 120.22
  4. Step 4: Simplify right side
    248.47x = 44,822.21
  5. Step 5: Solve for x
    x = 44,822.21/248.47
  6. Step 6: Final answer
    x = 180.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.