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Finding the Fourth Proportional to 309.06, 426.04 and 221.58

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Solution

The fourth proportional to 309.06, 426.04 and 221.58 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 426.04 = 221.58 : x
  2. Step 2: Convert to fraction form
    309.06/426.04 = 221.58/x
  3. Step 3: Cross multiply
    309.06x = 426.04 × 221.58
  4. Step 4: Simplify right side
    309.06x = 94,401.94
  5. Step 5: Solve for x
    x = 94,401.94/309.06
  6. Step 6: Final answer
    x = 305.45

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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.