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Finding the Fourth Proportional to 346.21, 477.80 and 206.38

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Solution

The fourth proportional to 346.21, 477.80 and 206.38 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.21 : 477.80 = 206.38 : x
  2. Step 2: Convert to fraction form
    346.21/477.80 = 206.38/x
  3. Step 3: Cross multiply
    346.21x = 477.80 × 206.38
  4. Step 4: Simplify right side
    346.21x = 98,608.70
  5. Step 5: Solve for x
    x = 98,608.70/346.21
  6. Step 6: Final answer
    x = 284.83

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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.