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Finding the Fourth Proportional to 192.04, 265.25 and 139.75

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Solution

The fourth proportional to 192.04, 265.25 and 139.75 is: 193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 265.25 = 139.75 : x
  2. Step 2: Convert to fraction form
    192.04/265.25 = 139.75/x
  3. Step 3: Cross multiply
    192.04x = 265.25 × 139.75
  4. Step 4: Simplify right side
    192.04x = 37,068.69
  5. Step 5: Solve for x
    x = 37,068.69/192.04
  6. Step 6: Final answer
    x = 193.03

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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.