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Finding the Fourth Proportional to 211.29, 290 and 187.45

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Solution

The fourth proportional to 211.29, 290 and 187.45 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 290 = 187.45 : x
  2. Step 2: Convert to fraction form
    211.29/290 = 187.45/x
  3. Step 3: Cross multiply
    211.29x = 290 × 187.45
  4. Step 4: Simplify right side
    211.29x = 54,359.05
  5. Step 5: Solve for x
    x = 54,359.05/211.29
  6. Step 6: Final answer
    x = 257.27

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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.