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Finding the Fourth Proportional to 211.21, 290.79 and 180.06

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Solution

The fourth proportional to 211.21, 290.79 and 180.06 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 290.79 = 180.06 : x
  2. Step 2: Convert to fraction form
    211.21/290.79 = 180.06/x
  3. Step 3: Cross multiply
    211.21x = 290.79 × 180.06
  4. Step 4: Simplify right side
    211.21x = 52,358.56
  5. Step 5: Solve for x
    x = 52,358.56/211.21
  6. Step 6: Final answer
    x = 247.90

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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.