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Finding the Fourth Proportional to 277.51, 416.24 and 161.88

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Solution

The fourth proportional to 277.51, 416.24 and 161.88 is: 242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.51 : 416.24 = 161.88 : x
  2. Step 2: Convert to fraction form
    277.51/416.24 = 161.88/x
  3. Step 3: Cross multiply
    277.51x = 416.24 × 161.88
  4. Step 4: Simplify right side
    277.51x = 67,380.93
  5. Step 5: Solve for x
    x = 67,380.93/277.51
  6. Step 6: Final answer
    x = 242.81

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