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Finding the Fourth Proportional to 277.48, 381.54 and 211.24

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Solution

The fourth proportional to 277.48, 381.54 and 211.24 is: 290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 381.54 = 211.24 : x
  2. Step 2: Convert to fraction form
    277.48/381.54 = 211.24/x
  3. Step 3: Cross multiply
    277.48x = 381.54 × 211.24
  4. Step 4: Simplify right side
    277.48x = 80,596.51
  5. Step 5: Solve for x
    x = 80,596.51/277.48
  6. Step 6: Final answer
    x = 290.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.