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Finding the Fourth Proportional to 340.62, 470.02 and 193.22

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Solution

The fourth proportional to 340.62, 470.02 and 193.22 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.62 : 470.02 = 193.22 : x
  2. Step 2: Convert to fraction form
    340.62/470.02 = 193.22/x
  3. Step 3: Cross multiply
    340.62x = 470.02 × 193.22
  4. Step 4: Simplify right side
    340.62x = 90,816.56
  5. Step 5: Solve for x
    x = 90,816.56/340.62
  6. Step 6: Final answer
    x = 266.62

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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.