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Finding the Fourth Proportional to 276.15, 381.10 and 165.72

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Solution

The fourth proportional to 276.15, 381.10 and 165.72 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.15 : 381.10 = 165.72 : x
  2. Step 2: Convert to fraction form
    276.15/381.10 = 165.72/x
  3. Step 3: Cross multiply
    276.15x = 381.10 × 165.72
  4. Step 4: Simplify right side
    276.15x = 63,155.07
  5. Step 5: Solve for x
    x = 63,155.07/276.15
  6. Step 6: Final answer
    x = 228.70

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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.