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Finding the Fourth Proportional to 192.71, 289.51 and 115.83

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Solution

The fourth proportional to 192.71, 289.51 and 115.83 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.71 : 289.51 = 115.83 : x
  2. Step 2: Convert to fraction form
    192.71/289.51 = 115.83/x
  3. Step 3: Cross multiply
    192.71x = 289.51 × 115.83
  4. Step 4: Simplify right side
    192.71x = 33,533.65
  5. Step 5: Solve for x
    x = 33,533.65/192.71
  6. Step 6: Final answer
    x = 174.01

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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.