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Finding the Fourth Proportional to 192.74, 266.37 and 153.86

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Solution

The fourth proportional to 192.74, 266.37 and 153.86 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 266.37 = 153.86 : x
  2. Step 2: Convert to fraction form
    192.74/266.37 = 153.86/x
  3. Step 3: Cross multiply
    192.74x = 266.37 × 153.86
  4. Step 4: Simplify right side
    192.74x = 40,983.69
  5. Step 5: Solve for x
    x = 40,983.69/192.74
  6. Step 6: Final answer
    x = 212.64

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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.