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Finding the Fourth Proportional to 277.74, 416.75 and 213.16

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Solution

The fourth proportional to 277.74, 416.75 and 213.16 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 416.75 = 213.16 : x
  2. Step 2: Convert to fraction form
    277.74/416.75 = 213.16/x
  3. Step 3: Cross multiply
    277.74x = 416.75 × 213.16
  4. Step 4: Simplify right side
    277.74x = 88,833.92
  5. Step 5: Solve for x
    x = 88,833.92/277.74
  6. Step 6: Final answer
    x = 319.85

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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.