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Finding the Fourth Proportional to 192.83, 265.95 and 115.20

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Solution

The fourth proportional to 192.83, 265.95 and 115.20 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 265.95 = 115.20 : x
  2. Step 2: Convert to fraction form
    192.83/265.95 = 115.20/x
  3. Step 3: Cross multiply
    192.83x = 265.95 × 115.20
  4. Step 4: Simplify right side
    192.83x = 30,637.44
  5. Step 5: Solve for x
    x = 30,637.44/192.83
  6. Step 6: Final answer
    x = 158.89

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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.