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Finding the Fourth Proportional to 211.61, 291.98 and 123.08

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Solution

The fourth proportional to 211.61, 291.98 and 123.08 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 291.98 = 123.08 : x
  2. Step 2: Convert to fraction form
    211.61/291.98 = 123.08/x
  3. Step 3: Cross multiply
    211.61x = 291.98 × 123.08
  4. Step 4: Simplify right side
    211.61x = 35,935.75
  5. Step 5: Solve for x
    x = 35,935.75/211.61
  6. Step 6: Final answer
    x = 169.82

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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.