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Finding the Fourth Proportional to 239.04, 330.24 and 208.08

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Solution

The fourth proportional to 239.04, 330.24 and 208.08 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.04 : 330.24 = 208.08 : x
  2. Step 2: Convert to fraction form
    239.04/330.24 = 208.08/x
  3. Step 3: Cross multiply
    239.04x = 330.24 × 208.08
  4. Step 4: Simplify right side
    239.04x = 68,716.34
  5. Step 5: Solve for x
    x = 68,716.34/239.04
  6. Step 6: Final answer
    x = 287.47

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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.