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Finding the Fourth Proportional to 267.19, 368.59 and 208.07

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Solution

The fourth proportional to 267.19, 368.59 and 208.07 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 368.59 = 208.07 : x
  2. Step 2: Convert to fraction form
    267.19/368.59 = 208.07/x
  3. Step 3: Cross multiply
    267.19x = 368.59 × 208.07
  4. Step 4: Simplify right side
    267.19x = 76,693.70
  5. Step 5: Solve for x
    x = 76,693.70/267.19
  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.