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Finding the Fourth Proportional to 192.10, 265.07 and 109.21

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Solution

The fourth proportional to 192.10, 265.07 and 109.21 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 265.07 = 109.21 : x
  2. Step 2: Convert to fraction form
    192.10/265.07 = 109.21/x
  3. Step 3: Cross multiply
    192.10x = 265.07 × 109.21
  4. Step 4: Simplify right side
    192.10x = 28,948.29
  5. Step 5: Solve for x
    x = 28,948.29/192.10
  6. Step 6: Final answer
    x = 150.69

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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.