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Finding the Fourth Proportional to 211.84, 290.65 and 193.33

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Solution

The fourth proportional to 211.84, 290.65 and 193.33 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 290.65 = 193.33 : x
  2. Step 2: Convert to fraction form
    211.84/290.65 = 193.33/x
  3. Step 3: Cross multiply
    211.84x = 290.65 × 193.33
  4. Step 4: Simplify right side
    211.84x = 56,191.36
  5. Step 5: Solve for x
    x = 56,191.36/211.84
  6. Step 6: Final answer
    x = 265.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.