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Finding the Fourth Proportional to 213.96, 319.22 and 193.76

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Solution

The fourth proportional to 213.96, 319.22 and 193.76 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 319.22 = 193.76 : x
  2. Step 2: Convert to fraction form
    213.96/319.22 = 193.76/x
  3. Step 3: Cross multiply
    213.96x = 319.22 × 193.76
  4. Step 4: Simplify right side
    213.96x = 61,852.07
  5. Step 5: Solve for x
    x = 61,852.07/213.96
  6. Step 6: Final answer
    x = 289.08

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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.