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Finding the Fourth Proportional to 340.81, 471.26 and 270.74

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Solution

The fourth proportional to 340.81, 471.26 and 270.74 is: 374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 471.26 = 270.74 : x
  2. Step 2: Convert to fraction form
    340.81/471.26 = 270.74/x
  3. Step 3: Cross multiply
    340.81x = 471.26 × 270.74
  4. Step 4: Simplify right side
    340.81x = 127,587.58
  5. Step 5: Solve for x
    x = 127,587.58/340.81
  6. Step 6: Final answer
    x = 374.37

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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.