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Finding the Fourth Proportional to 339.42, 468.26 and 208.20

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Solution

The fourth proportional to 339.42, 468.26 and 208.20 is: 287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 468.26 = 208.20 : x
  2. Step 2: Convert to fraction form
    339.42/468.26 = 208.20/x
  3. Step 3: Cross multiply
    339.42x = 468.26 × 208.20
  4. Step 4: Simplify right side
    339.42x = 97,491.08
  5. Step 5: Solve for x
    x = 97,491.08/339.42
  6. Step 6: Final answer
    x = 287.23

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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.