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Finding the Fourth Proportional to 192.39, 265.12 and 152.92

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Solution

The fourth proportional to 192.39, 265.12 and 152.92 is: 210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.39 : 265.12 = 152.92 : x
  2. Step 2: Convert to fraction form
    192.39/265.12 = 152.92/x
  3. Step 3: Cross multiply
    192.39x = 265.12 × 152.92
  4. Step 4: Simplify right side
    192.39x = 40,542.15
  5. Step 5: Solve for x
    x = 40,542.15/192.39
  6. Step 6: Final answer
    x = 210.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.