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Finding the Fourth Proportional to 483.70, 668.37 and 367.06

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Solution

The fourth proportional to 483.70, 668.37 and 367.06 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.70 : 668.37 = 367.06 : x
  2. Step 2: Convert to fraction form
    483.70/668.37 = 367.06/x
  3. Step 3: Cross multiply
    483.70x = 668.37 × 367.06
  4. Step 4: Simplify right side
    483.70x = 245,331.89
  5. Step 5: Solve for x
    x = 245,331.89/483.70
  6. Step 6: Final answer
    x = 507.20

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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.