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Finding the Fourth Proportional to 183.60, 274.05 and 149.40

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Solution

The fourth proportional to 183.60, 274.05 and 149.40 is: 223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 274.05 = 149.40 : x
  2. Step 2: Convert to fraction form
    183.60/274.05 = 149.40/x
  3. Step 3: Cross multiply
    183.60x = 274.05 × 149.40
  4. Step 4: Simplify right side
    183.60x = 40,943.07
  5. Step 5: Solve for x
    x = 40,943.07/183.60
  6. Step 6: Final answer
    x = 223.00

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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.