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Finding the Fourth Proportional to 443.84, 612.59 and 286.45

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Solution

The fourth proportional to 443.84, 612.59 and 286.45 is: 395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 612.59 = 286.45 : x
  2. Step 2: Convert to fraction form
    443.84/612.59 = 286.45/x
  3. Step 3: Cross multiply
    443.84x = 612.59 × 286.45
  4. Step 4: Simplify right side
    443.84x = 175,476.41
  5. Step 5: Solve for x
    x = 175,476.41/443.84
  6. Step 6: Final answer
    x = 395.36

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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.