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Finding the Fourth Proportional to 347.94, 480.08 and 208.03

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Solution

The fourth proportional to 347.94, 480.08 and 208.03 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 480.08 = 208.03 : x
  2. Step 2: Convert to fraction form
    347.94/480.08 = 208.03/x
  3. Step 3: Cross multiply
    347.94x = 480.08 × 208.03
  4. Step 4: Simplify right side
    347.94x = 99,871.78
  5. Step 5: Solve for x
    x = 99,871.78/347.94
  6. Step 6: Final answer
    x = 287.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.