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Finding the Fourth Proportional to 340.76, 470.22 and 193.38

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Solution

The fourth proportional to 340.76, 470.22 and 193.38 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 470.22 = 193.38 : x
  2. Step 2: Convert to fraction form
    340.76/470.22 = 193.38/x
  3. Step 3: Cross multiply
    340.76x = 470.22 × 193.38
  4. Step 4: Simplify right side
    340.76x = 90,931.14
  5. Step 5: Solve for x
    x = 90,931.14/340.76
  6. Step 6: Final answer
    x = 266.85

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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.