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Finding the Fourth Proportional to 211.76, 290.48 and 204.72

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Solution

The fourth proportional to 211.76, 290.48 and 204.72 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 290.48 = 204.72 : x
  2. Step 2: Convert to fraction form
    211.76/290.48 = 204.72/x
  3. Step 3: Cross multiply
    211.76x = 290.48 × 204.72
  4. Step 4: Simplify right side
    211.76x = 59,467.07
  5. Step 5: Solve for x
    x = 59,467.07/211.76
  6. Step 6: Final answer
    x = 280.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.