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Finding the Fourth Proportional to 211.32, 290.84 and 187.92

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Solution

The fourth proportional to 211.32, 290.84 and 187.92 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 290.84 = 187.92 : x
  2. Step 2: Convert to fraction form
    211.32/290.84 = 187.92/x
  3. Step 3: Cross multiply
    211.32x = 290.84 × 187.92
  4. Step 4: Simplify right side
    211.32x = 54,653.71
  5. Step 5: Solve for x
    x = 54,653.71/211.32
  6. Step 6: Final answer
    x = 258.63

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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.