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Finding the Fourth Proportional to 211.65, 290.53 and 187.82

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Solution

The fourth proportional to 211.65, 290.53 and 187.82 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.65 : 290.53 = 187.82 : x
  2. Step 2: Convert to fraction form
    211.65/290.53 = 187.82/x
  3. Step 3: Cross multiply
    211.65x = 290.53 × 187.82
  4. Step 4: Simplify right side
    211.65x = 54,564.95
  5. Step 5: Solve for x
    x = 54,564.95/211.65
  6. Step 6: Final answer
    x = 257.81

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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.