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Finding the Fourth Proportional to 380.22, 570.53 and 163.95

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Solution

The fourth proportional to 380.22, 570.53 and 163.95 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 570.53 = 163.95 : x
  2. Step 2: Convert to fraction form
    380.22/570.53 = 163.95/x
  3. Step 3: Cross multiply
    380.22x = 570.53 × 163.95
  4. Step 4: Simplify right side
    380.22x = 93,538.39
  5. Step 5: Solve for x
    x = 93,538.39/380.22
  6. Step 6: Final answer
    x = 246.01

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Why These Related Problems?

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