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Finding the Fourth Proportional to 212.59, 290.85 and 211.68

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Solution

The fourth proportional to 212.59, 290.85 and 211.68 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.59 : 290.85 = 211.68 : x
  2. Step 2: Convert to fraction form
    212.59/290.85 = 211.68/x
  3. Step 3: Cross multiply
    212.59x = 290.85 × 211.68
  4. Step 4: Simplify right side
    212.59x = 61,567.13
  5. Step 5: Solve for x
    x = 61,567.13/212.59
  6. Step 6: Final answer
    x = 289.61

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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.