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Finding the Fourth Proportional to 268.95, 401.73 and 214.68

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Solution

The fourth proportional to 268.95, 401.73 and 214.68 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.95 : 401.73 = 214.68 : x
  2. Step 2: Convert to fraction form
    268.95/401.73 = 214.68/x
  3. Step 3: Cross multiply
    268.95x = 401.73 × 214.68
  4. Step 4: Simplify right side
    268.95x = 86,243.40
  5. Step 5: Solve for x
    x = 86,243.40/268.95
  6. Step 6: Final answer
    x = 320.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.