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Finding the Fourth Proportional to 420.55, 629.35 and 333.11

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Solution

The fourth proportional to 420.55, 629.35 and 333.11 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.55 : 629.35 = 333.11 : x
  2. Step 2: Convert to fraction form
    420.55/629.35 = 333.11/x
  3. Step 3: Cross multiply
    420.55x = 629.35 × 333.11
  4. Step 4: Simplify right side
    420.55x = 209,642.78
  5. Step 5: Solve for x
    x = 209,642.78/420.55
  6. Step 6: Final answer
    x = 498.50

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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.