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Finding the Fourth Proportional to 393.45, 541.85 and 362.67

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Solution

The fourth proportional to 393.45, 541.85 and 362.67 is: 499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.45 : 541.85 = 362.67 : x
  2. Step 2: Convert to fraction form
    393.45/541.85 = 362.67/x
  3. Step 3: Cross multiply
    393.45x = 541.85 × 362.67
  4. Step 4: Simplify right side
    393.45x = 196,512.74
  5. Step 5: Solve for x
    x = 196,512.74/393.45
  6. Step 6: Final answer
    x = 499.46

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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.