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Finding the Fourth Proportional to 245.84, 367.07 and 211.19

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Solution

The fourth proportional to 245.84, 367.07 and 211.19 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 367.07 = 211.19 : x
  2. Step 2: Convert to fraction form
    245.84/367.07 = 211.19/x
  3. Step 3: Cross multiply
    245.84x = 367.07 × 211.19
  4. Step 4: Simplify right side
    245.84x = 77,518.62
  5. Step 5: Solve for x
    x = 77,518.62/245.84
  6. Step 6: Final answer
    x = 315.33

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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.