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Finding the Fourth Proportional to 340.69, 470.13 and 193.30

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Solution

The fourth proportional to 340.69, 470.13 and 193.30 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 470.13 = 193.30 : x
  2. Step 2: Convert to fraction form
    340.69/470.13 = 193.30/x
  3. Step 3: Cross multiply
    340.69x = 470.13 × 193.30
  4. Step 4: Simplify right side
    340.69x = 90,876.13
  5. Step 5: Solve for x
    x = 90,876.13/340.69
  6. Step 6: Final answer
    x = 266.74

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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.