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Finding the Fourth Proportional to 183.07, 274.20 and 152.43

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Solution

The fourth proportional to 183.07, 274.20 and 152.43 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.07 : 274.20 = 152.43 : x
  2. Step 2: Convert to fraction form
    183.07/274.20 = 152.43/x
  3. Step 3: Cross multiply
    183.07x = 274.20 × 152.43
  4. Step 4: Simplify right side
    183.07x = 41,796.31
  5. Step 5: Solve for x
    x = 41,796.31/183.07
  6. Step 6: Final answer
    x = 228.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.