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Finding the Fourth Proportional to 291.06, 435.98 and 221.82

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Solution

The fourth proportional to 291.06, 435.98 and 221.82 is: 332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 435.98 = 221.82 : x
  2. Step 2: Convert to fraction form
    291.06/435.98 = 221.82/x
  3. Step 3: Cross multiply
    291.06x = 435.98 × 221.82
  4. Step 4: Simplify right side
    291.06x = 96,709.08
  5. Step 5: Solve for x
    x = 96,709.08/291.06
  6. Step 6: Final answer
    x = 332.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.