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Finding the Fourth Proportional to 268.84, 401.81 and 211.24

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Solution

The fourth proportional to 268.84, 401.81 and 211.24 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.84 : 401.81 = 211.24 : x
  2. Step 2: Convert to fraction form
    268.84/401.81 = 211.24/x
  3. Step 3: Cross multiply
    268.84x = 401.81 × 211.24
  4. Step 4: Simplify right side
    268.84x = 84,878.34
  5. Step 5: Solve for x
    x = 84,878.34/268.84
  6. Step 6: Final answer
    x = 315.72

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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.