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Finding the Fourth Proportional to 275.74, 380.69 and 165.25

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Solution

The fourth proportional to 275.74, 380.69 and 165.25 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.74 : 380.69 = 165.25 : x
  2. Step 2: Convert to fraction form
    275.74/380.69 = 165.25/x
  3. Step 3: Cross multiply
    275.74x = 380.69 × 165.25
  4. Step 4: Simplify right side
    275.74x = 62,909.02
  5. Step 5: Solve for x
    x = 62,909.02/275.74
  6. Step 6: Final answer
    x = 228.15

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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.