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Finding the Fourth Proportional to 194.79, 266.90 and 192.99

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Solution

The fourth proportional to 194.79, 266.90 and 192.99 is: 264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.79 : 266.90 = 192.99 : x
  2. Step 2: Convert to fraction form
    194.79/266.90 = 192.99/x
  3. Step 3: Cross multiply
    194.79x = 266.90 × 192.99
  4. Step 4: Simplify right side
    194.79x = 51,509.88
  5. Step 5: Solve for x
    x = 51,509.88/194.79
  6. Step 6: Final answer
    x = 264.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.