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Finding the Fourth Proportional to 277.12, 381.72 and 210.88

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Solution

The fourth proportional to 277.12, 381.72 and 210.88 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 381.72 = 210.88 : x
  2. Step 2: Convert to fraction form
    277.12/381.72 = 210.88/x
  3. Step 3: Cross multiply
    277.12x = 381.72 × 210.88
  4. Step 4: Simplify right side
    277.12x = 80,497.11
  5. Step 5: Solve for x
    x = 80,497.11/277.12
  6. Step 6: Final answer
    x = 290.48

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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.