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Finding the Fourth Proportional to 253.57, 380.48 and 109.25

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Solution

The fourth proportional to 253.57, 380.48 and 109.25 is: 163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 380.48 = 109.25 : x
  2. Step 2: Convert to fraction form
    253.57/380.48 = 109.25/x
  3. Step 3: Cross multiply
    253.57x = 380.48 × 109.25
  4. Step 4: Simplify right side
    253.57x = 41,567.71
  5. Step 5: Solve for x
    x = 41,567.71/253.57
  6. Step 6: Final answer
    x = 163.93

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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.