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Finding the Fourth Proportional to 183.14, 273.16 and 155.78

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Solution

The fourth proportional to 183.14, 273.16 and 155.78 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 273.16 = 155.78 : x
  2. Step 2: Convert to fraction form
    183.14/273.16 = 155.78/x
  3. Step 3: Cross multiply
    183.14x = 273.16 × 155.78
  4. Step 4: Simplify right side
    183.14x = 42,552.86
  5. Step 5: Solve for x
    x = 42,552.86/183.14
  6. Step 6: Final answer
    x = 232.35

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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.