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Finding the Fourth Proportional to 420.55, 629.48 and 225.06

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Solution

The fourth proportional to 420.55, 629.48 and 225.06 is: 336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.55 : 629.48 = 225.06 : x
  2. Step 2: Convert to fraction form
    420.55/629.48 = 225.06/x
  3. Step 3: Cross multiply
    420.55x = 629.48 × 225.06
  4. Step 4: Simplify right side
    420.55x = 141,671.22
  5. Step 5: Solve for x
    x = 141,671.22/420.55
  6. Step 6: Final answer
    x = 336.87

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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.