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Finding the Fourth Proportional to 444.02, 612.38 and 286.66

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Solution

The fourth proportional to 444.02, 612.38 and 286.66 is: 395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.02 : 612.38 = 286.66 : x
  2. Step 2: Convert to fraction form
    444.02/612.38 = 286.66/x
  3. Step 3: Cross multiply
    444.02x = 612.38 × 286.66
  4. Step 4: Simplify right side
    444.02x = 175,544.85
  5. Step 5: Solve for x
    x = 175,544.85/444.02
  6. Step 6: Final answer
    x = 395.35

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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.