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Finding the Fourth Proportional to 342.95, 470.09 and 338.33

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Solution

The fourth proportional to 342.95, 470.09 and 338.33 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.95 : 470.09 = 338.33 : x
  2. Step 2: Convert to fraction form
    342.95/470.09 = 338.33/x
  3. Step 3: Cross multiply
    342.95x = 470.09 × 338.33
  4. Step 4: Simplify right side
    342.95x = 159,044.70
  5. Step 5: Solve for x
    x = 159,044.70/342.95
  6. Step 6: Final answer
    x = 463.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.