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Finding the Fourth Proportional to 291.12, 401.68 and 173.08

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Solution

The fourth proportional to 291.12, 401.68 and 173.08 is: 238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 401.68 = 173.08 : x
  2. Step 2: Convert to fraction form
    291.12/401.68 = 173.08/x
  3. Step 3: Cross multiply
    291.12x = 401.68 × 173.08
  4. Step 4: Simplify right side
    291.12x = 69,522.77
  5. Step 5: Solve for x
    x = 69,522.77/291.12
  6. Step 6: Final answer
    x = 238.81

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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.