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Finding the Fourth Proportional to 192.08, 289.16 and 175.07

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Solution

The fourth proportional to 192.08, 289.16 and 175.07 is: 263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 289.16 = 175.07 : x
  2. Step 2: Convert to fraction form
    192.08/289.16 = 175.07/x
  3. Step 3: Cross multiply
    192.08x = 289.16 × 175.07
  4. Step 4: Simplify right side
    192.08x = 50,620.92
  5. Step 5: Solve for x
    x = 50,620.92/192.08
  6. Step 6: Final answer
    x = 263.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.