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Finding the Fourth Proportional to 123.40, 163.40 and 123.40

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Solution

The fourth proportional to 123.40, 163.40 and 123.40 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 163.40 = 123.40 : x
  2. Step 2: Convert to fraction form
    123.40/163.40 = 123.40/x
  3. Step 3: Cross multiply
    123.40x = 163.40 × 123.40
  4. Step 4: Simplify right side
    123.40x = 20,163.56
  5. Step 5: Solve for x
    x = 20,163.56/123.40
  6. Step 6: Final answer
    x = 163.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.