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Finding the Fourth Proportional to 253.38, 379.75 and 172.02

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Solution

The fourth proportional to 253.38, 379.75 and 172.02 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.38 : 379.75 = 172.02 : x
  2. Step 2: Convert to fraction form
    253.38/379.75 = 172.02/x
  3. Step 3: Cross multiply
    253.38x = 379.75 × 172.02
  4. Step 4: Simplify right side
    253.38x = 65,324.60
  5. Step 5: Solve for x
    x = 65,324.60/253.38
  6. Step 6: Final answer
    x = 257.81

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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.