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Finding the Fourth Proportional to 336.95, 465.21 and 206.03

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Solution

The fourth proportional to 336.95, 465.21 and 206.03 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.95 : 465.21 = 206.03 : x
  2. Step 2: Convert to fraction form
    336.95/465.21 = 206.03/x
  3. Step 3: Cross multiply
    336.95x = 465.21 × 206.03
  4. Step 4: Simplify right side
    336.95x = 95,847.22
  5. Step 5: Solve for x
    x = 95,847.22/336.95
  6. Step 6: Final answer
    x = 284.46

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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.