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Finding the Fourth Proportional to 444.26, 613.16 and 320.34

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Solution

The fourth proportional to 444.26, 613.16 and 320.34 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 613.16 = 320.34 : x
  2. Step 2: Convert to fraction form
    444.26/613.16 = 320.34/x
  3. Step 3: Cross multiply
    444.26x = 613.16 × 320.34
  4. Step 4: Simplify right side
    444.26x = 196,419.67
  5. Step 5: Solve for x
    x = 196,419.67/444.26
  6. Step 6: Final answer
    x = 442.13

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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.