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Finding the Fourth Proportional to 412, 618 and 138.13

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Solution

The fourth proportional to 412, 618 and 138.13 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 618 = 138.13 : x
  2. Step 2: Convert to fraction form
    412/618 = 138.13/x
  3. Step 3: Cross multiply
    412x = 618 × 138.13
  4. Step 4: Simplify right side
    412x = 85,364.34
  5. Step 5: Solve for x
    x = 85,364.34/412
  6. Step 6: Final answer
    x = 207.20

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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.