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Finding the Fourth Proportional to 192.72, 286.74 and 176.52

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Solution

The fourth proportional to 192.72, 286.74 and 176.52 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 286.74 = 176.52 : x
  2. Step 2: Convert to fraction form
    192.72/286.74 = 176.52/x
  3. Step 3: Cross multiply
    192.72x = 286.74 × 176.52
  4. Step 4: Simplify right side
    192.72x = 50,615.34
  5. Step 5: Solve for x
    x = 50,615.34/192.72
  6. Step 6: Final answer
    x = 262.64

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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.