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Finding the Fourth Proportional to 269.68, 405 and 208.18

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Solution

The fourth proportional to 269.68, 405 and 208.18 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 405 = 208.18 : x
  2. Step 2: Convert to fraction form
    269.68/405 = 208.18/x
  3. Step 3: Cross multiply
    269.68x = 405 × 208.18
  4. Step 4: Simplify right side
    269.68x = 84,312.90
  5. Step 5: Solve for x
    x = 84,312.90/269.68
  6. Step 6: Final answer
    x = 312.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.