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Finding the Fourth Proportional to 213.67, 320.14 and 192.93

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Solution

The fourth proportional to 213.67, 320.14 and 192.93 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 320.14 = 192.93 : x
  2. Step 2: Convert to fraction form
    213.67/320.14 = 192.93/x
  3. Step 3: Cross multiply
    213.67x = 320.14 × 192.93
  4. Step 4: Simplify right side
    213.67x = 61,764.61
  5. Step 5: Solve for x
    x = 61,764.61/213.67
  6. Step 6: Final answer
    x = 289.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.