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Finding the Fourth Proportional to 340.56, 469.97 and 193.19

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Solution

The fourth proportional to 340.56, 469.97 and 193.19 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 469.97 = 193.19 : x
  2. Step 2: Convert to fraction form
    340.56/469.97 = 193.19/x
  3. Step 3: Cross multiply
    340.56x = 469.97 × 193.19
  4. Step 4: Simplify right side
    340.56x = 90,790.19
  5. Step 5: Solve for x
    x = 90,790.19/340.56
  6. Step 6: Final answer
    x = 266.59

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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.