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Finding the Fourth Proportional to 444.40, 613.36 and 305.22

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Solution

The fourth proportional to 444.40, 613.36 and 305.22 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 613.36 = 305.22 : x
  2. Step 2: Convert to fraction form
    444.40/613.36 = 305.22/x
  3. Step 3: Cross multiply
    444.40x = 613.36 × 305.22
  4. Step 4: Simplify right side
    444.40x = 187,209.74
  5. Step 5: Solve for x
    x = 187,209.74/444.40
  6. Step 6: Final answer
    x = 421.26

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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.