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Finding the Fourth Proportional to 183.76, 274.40 and 165.40

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Solution

The fourth proportional to 183.76, 274.40 and 165.40 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.76 : 274.40 = 165.40 : x
  2. Step 2: Convert to fraction form
    183.76/274.40 = 165.40/x
  3. Step 3: Cross multiply
    183.76x = 274.40 × 165.40
  4. Step 4: Simplify right side
    183.76x = 45,385.76
  5. Step 5: Solve for x
    x = 45,385.76/183.76
  6. Step 6: Final answer
    x = 246.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.