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Finding the Fourth Proportional to 291.06, 401.22 and 180.45

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Solution

The fourth proportional to 291.06, 401.22 and 180.45 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.22 = 180.45 : x
  2. Step 2: Convert to fraction form
    291.06/401.22 = 180.45/x
  3. Step 3: Cross multiply
    291.06x = 401.22 × 180.45
  4. Step 4: Simplify right side
    291.06x = 72,400.15
  5. Step 5: Solve for x
    x = 72,400.15/291.06
  6. Step 6: Final answer
    x = 248.75

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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.