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Finding the Fourth Proportional to 211.04, 290.54 and 185.14

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Solution

The fourth proportional to 211.04, 290.54 and 185.14 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 290.54 = 185.14 : x
  2. Step 2: Convert to fraction form
    211.04/290.54 = 185.14/x
  3. Step 3: Cross multiply
    211.04x = 290.54 × 185.14
  4. Step 4: Simplify right side
    211.04x = 53,790.58
  5. Step 5: Solve for x
    x = 53,790.58/211.04
  6. Step 6: Final answer
    x = 254.88

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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.