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Finding the Fourth Proportional to 211.02, 289.97 and 188.70

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Solution

The fourth proportional to 211.02, 289.97 and 188.70 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 289.97 = 188.70 : x
  2. Step 2: Convert to fraction form
    211.02/289.97 = 188.70/x
  3. Step 3: Cross multiply
    211.02x = 289.97 × 188.70
  4. Step 4: Simplify right side
    211.02x = 54,716.40
  5. Step 5: Solve for x
    x = 54,716.40/211.02
  6. Step 6: Final answer
    x = 259.29

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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.