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Finding the Fourth Proportional to 307.40, 461.02 and 122.23

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Solution

The fourth proportional to 307.40, 461.02 and 122.23 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.40 : 461.02 = 122.23 : x
  2. Step 2: Convert to fraction form
    307.40/461.02 = 122.23/x
  3. Step 3: Cross multiply
    307.40x = 461.02 × 122.23
  4. Step 4: Simplify right side
    307.40x = 56,351.93
  5. Step 5: Solve for x
    x = 56,351.93/307.40
  6. Step 6: Final answer
    x = 183.32

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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.