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Finding the Fourth Proportional to 211.63, 291.77 and 136.81

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Solution

The fourth proportional to 211.63, 291.77 and 136.81 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.63 : 291.77 = 136.81 : x
  2. Step 2: Convert to fraction form
    211.63/291.77 = 136.81/x
  3. Step 3: Cross multiply
    211.63x = 291.77 × 136.81
  4. Step 4: Simplify right side
    211.63x = 39,918.02
  5. Step 5: Solve for x
    x = 39,918.02/211.63
  6. Step 6: Final answer
    x = 188.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.