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Finding the Fourth Proportional to 213.58, 319.23 and 185.94

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Solution

The fourth proportional to 213.58, 319.23 and 185.94 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 319.23 = 185.94 : x
  2. Step 2: Convert to fraction form
    213.58/319.23 = 185.94/x
  3. Step 3: Cross multiply
    213.58x = 319.23 × 185.94
  4. Step 4: Simplify right side
    213.58x = 59,357.63
  5. Step 5: Solve for x
    x = 59,357.63/213.58
  6. Step 6: Final answer
    x = 277.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.