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Finding the Fourth Proportional to 268.56, 403.06 and 208.06

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Solution

The fourth proportional to 268.56, 403.06 and 208.06 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 403.06 = 208.06 : x
  2. Step 2: Convert to fraction form
    268.56/403.06 = 208.06/x
  3. Step 3: Cross multiply
    268.56x = 403.06 × 208.06
  4. Step 4: Simplify right side
    268.56x = 83,860.66
  5. Step 5: Solve for x
    x = 83,860.66/268.56
  6. Step 6: Final answer
    x = 312.26

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Why These Related Problems?

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