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Finding the Fourth Proportional to 192.01, 288.01 and 47.72

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Solution

The fourth proportional to 192.01, 288.01 and 47.72 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.01 : 288.01 = 47.72 : x
  2. Step 2: Convert to fraction form
    192.01/288.01 = 47.72/x
  3. Step 3: Cross multiply
    192.01x = 288.01 × 47.72
  4. Step 4: Simplify right side
    192.01x = 13,745.16
  5. Step 5: Solve for x
    x = 13,745.16/192.01
  6. Step 6: Final answer
    x = 71.59

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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.