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Finding the Fourth Proportional to 183.15, 272.84 and 174.85

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Solution

The fourth proportional to 183.15, 272.84 and 174.85 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.15 : 272.84 = 174.85 : x
  2. Step 2: Convert to fraction form
    183.15/272.84 = 174.85/x
  3. Step 3: Cross multiply
    183.15x = 272.84 × 174.85
  4. Step 4: Simplify right side
    183.15x = 47,706.07
  5. Step 5: Solve for x
    x = 47,706.07/183.15
  6. Step 6: Final answer
    x = 260.48

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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.