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Finding the Fourth Proportional to 340.94, 471.02 and 275.33

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Solution

The fourth proportional to 340.94, 471.02 and 275.33 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.94 : 471.02 = 275.33 : x
  2. Step 2: Convert to fraction form
    340.94/471.02 = 275.33/x
  3. Step 3: Cross multiply
    340.94x = 471.02 × 275.33
  4. Step 4: Simplify right side
    340.94x = 129,685.74
  5. Step 5: Solve for x
    x = 129,685.74/340.94
  6. Step 6: Final answer
    x = 380.37

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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.