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Finding the Fourth Proportional to 192.48, 265.60 and 113.80

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Solution

The fourth proportional to 192.48, 265.60 and 113.80 is: 157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 265.60 = 113.80 : x
  2. Step 2: Convert to fraction form
    192.48/265.60 = 113.80/x
  3. Step 3: Cross multiply
    192.48x = 265.60 × 113.80
  4. Step 4: Simplify right side
    192.48x = 30,225.28
  5. Step 5: Solve for x
    x = 30,225.28/192.48
  6. Step 6: Final answer
    x = 157.03

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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.