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Finding the Fourth Proportional to 211.55, 291.76 and 136.82

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Solution

The fourth proportional to 211.55, 291.76 and 136.82 is: 188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.55 : 291.76 = 136.82 : x
  2. Step 2: Convert to fraction form
    211.55/291.76 = 136.82/x
  3. Step 3: Cross multiply
    211.55x = 291.76 × 136.82
  4. Step 4: Simplify right side
    211.55x = 39,918.99
  5. Step 5: Solve for x
    x = 39,918.99/211.55
  6. Step 6: Final answer
    x = 188.70

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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.