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Finding the Fourth Proportional to 211.26, 291.54 and 123.98

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Solution

The fourth proportional to 211.26, 291.54 and 123.98 is: 171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 291.54 = 123.98 : x
  2. Step 2: Convert to fraction form
    211.26/291.54 = 123.98/x
  3. Step 3: Cross multiply
    211.26x = 291.54 × 123.98
  4. Step 4: Simplify right side
    211.26x = 36,145.13
  5. Step 5: Solve for x
    x = 36,145.13/211.26
  6. Step 6: Final answer
    x = 171.09

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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.