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Finding the Fourth Proportional to 346.80, 475.81 and 338.07

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Solution

The fourth proportional to 346.80, 475.81 and 338.07 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 475.81 = 338.07 : x
  2. Step 2: Convert to fraction form
    346.80/475.81 = 338.07/x
  3. Step 3: Cross multiply
    346.80x = 475.81 × 338.07
  4. Step 4: Simplify right side
    346.80x = 160,858.03
  5. Step 5: Solve for x
    x = 160,858.03/346.80
  6. Step 6: Final answer
    x = 463.84

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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.