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Finding the Fourth Proportional to 192.51, 287.19 and 178.53

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Solution

The fourth proportional to 192.51, 287.19 and 178.53 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.51 : 287.19 = 178.53 : x
  2. Step 2: Convert to fraction form
    192.51/287.19 = 178.53/x
  3. Step 3: Cross multiply
    192.51x = 287.19 × 178.53
  4. Step 4: Simplify right side
    192.51x = 51,272.03
  5. Step 5: Solve for x
    x = 51,272.03/192.51
  6. Step 6: Final answer
    x = 266.33

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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.