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Finding the Fourth Proportional to 346.68, 480.30 and 338.23

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Solution

The fourth proportional to 346.68, 480.30 and 338.23 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.68 : 480.30 = 338.23 : x
  2. Step 2: Convert to fraction form
    346.68/480.30 = 338.23/x
  3. Step 3: Cross multiply
    346.68x = 480.30 × 338.23
  4. Step 4: Simplify right side
    346.68x = 162,451.35
  5. Step 5: Solve for x
    x = 162,451.35/346.68
  6. Step 6: Final answer
    x = 468.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.