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Finding the Fourth Proportional to 192.75, 287.63 and 174.57

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Solution

The fourth proportional to 192.75, 287.63 and 174.57 is: 260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 287.63 = 174.57 : x
  2. Step 2: Convert to fraction form
    192.75/287.63 = 174.57/x
  3. Step 3: Cross multiply
    192.75x = 287.63 × 174.57
  4. Step 4: Simplify right side
    192.75x = 50,210.70
  5. Step 5: Solve for x
    x = 50,210.70/192.75
  6. Step 6: Final answer
    x = 260.50

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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.