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Finding the Fourth Proportional to 412.06, 618 and 344.02

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Solution

The fourth proportional to 412.06, 618 and 344.02 is: 515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 618 = 344.02 : x
  2. Step 2: Convert to fraction form
    412.06/618 = 344.02/x
  3. Step 3: Cross multiply
    412.06x = 618 × 344.02
  4. Step 4: Simplify right side
    412.06x = 212,604.36
  5. Step 5: Solve for x
    x = 212,604.36/412.06
  6. Step 6: Final answer
    x = 515.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.