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Finding the Fourth Proportional to 444.11, 613.06 and 284.80

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Solution

The fourth proportional to 444.11, 613.06 and 284.80 is: 393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.11 : 613.06 = 284.80 : x
  2. Step 2: Convert to fraction form
    444.11/613.06 = 284.80/x
  3. Step 3: Cross multiply
    444.11x = 613.06 × 284.80
  4. Step 4: Simplify right side
    444.11x = 174,599.49
  5. Step 5: Solve for x
    x = 174,599.49/444.11
  6. Step 6: Final answer
    x = 393.14

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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.