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Finding the Fourth Proportional to 253.67, 350.26 and 165.20

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Solution

The fourth proportional to 253.67, 350.26 and 165.20 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.67 : 350.26 = 165.20 : x
  2. Step 2: Convert to fraction form
    253.67/350.26 = 165.20/x
  3. Step 3: Cross multiply
    253.67x = 350.26 × 165.20
  4. Step 4: Simplify right side
    253.67x = 57,861.20
  5. Step 5: Solve for x
    x = 57,861.20/253.67
  6. Step 6: Final answer
    x = 228.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.