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Finding the Fourth Proportional to 192.91, 266.60 and 146.26

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Solution

The fourth proportional to 192.91, 266.60 and 146.26 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 266.60 = 146.26 : x
  2. Step 2: Convert to fraction form
    192.91/266.60 = 146.26/x
  3. Step 3: Cross multiply
    192.91x = 266.60 × 146.26
  4. Step 4: Simplify right side
    192.91x = 38,992.18
  5. Step 5: Solve for x
    x = 38,992.18/192.91
  6. Step 6: Final answer
    x = 202.13

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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.