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Finding the Fourth Proportional to 192.83, 288.15 and 138.83

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Solution

The fourth proportional to 192.83, 288.15 and 138.83 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 288.15 = 138.83 : x
  2. Step 2: Convert to fraction form
    192.83/288.15 = 138.83/x
  3. Step 3: Cross multiply
    192.83x = 288.15 × 138.83
  4. Step 4: Simplify right side
    192.83x = 40,001.90
  5. Step 5: Solve for x
    x = 40,001.90/192.83
  6. Step 6: Final answer
    x = 207.45

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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.