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Finding the Fourth Proportional to 272.34, 407.88 and 163.89

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Solution

The fourth proportional to 272.34, 407.88 and 163.89 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.34 : 407.88 = 163.89 : x
  2. Step 2: Convert to fraction form
    272.34/407.88 = 163.89/x
  3. Step 3: Cross multiply
    272.34x = 407.88 × 163.89
  4. Step 4: Simplify right side
    272.34x = 66,847.45
  5. Step 5: Solve for x
    x = 66,847.45/272.34
  6. Step 6: Final answer
    x = 245.46

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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.