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Finding the Fourth Proportional to 192.58, 265.73 and 113.91

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Solution

The fourth proportional to 192.58, 265.73 and 113.91 is: 157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 265.73 = 113.91 : x
  2. Step 2: Convert to fraction form
    192.58/265.73 = 113.91/x
  3. Step 3: Cross multiply
    192.58x = 265.73 × 113.91
  4. Step 4: Simplify right side
    192.58x = 30,269.30
  5. Step 5: Solve for x
    x = 30,269.30/192.58
  6. Step 6: Final answer
    x = 157.18

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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.