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Finding the Fourth Proportional to 276.02, 380.73 and 165.42

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Solution

The fourth proportional to 276.02, 380.73 and 165.42 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 380.73 = 165.42 : x
  2. Step 2: Convert to fraction form
    276.02/380.73 = 165.42/x
  3. Step 3: Cross multiply
    276.02x = 380.73 × 165.42
  4. Step 4: Simplify right side
    276.02x = 62,980.36
  5. Step 5: Solve for x
    x = 62,980.36/276.02
  6. Step 6: Final answer
    x = 228.17

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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.