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Finding the Fourth Proportional to 211.04, 290.24 and 169.52

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Solution

The fourth proportional to 211.04, 290.24 and 169.52 is: 233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 290.24 = 169.52 : x
  2. Step 2: Convert to fraction form
    211.04/290.24 = 169.52/x
  3. Step 3: Cross multiply
    211.04x = 290.24 × 169.52
  4. Step 4: Simplify right side
    211.04x = 49,202.63
  5. Step 5: Solve for x
    x = 49,202.63/211.04
  6. Step 6: Final answer
    x = 233.15

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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.