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Finding the Fourth Proportional to 419.48, 629.74 and 266.05

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Solution

The fourth proportional to 419.48, 629.74 and 266.05 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.74 = 266.05 : x
  2. Step 2: Convert to fraction form
    419.48/629.74 = 266.05/x
  3. Step 3: Cross multiply
    419.48x = 629.74 × 266.05
  4. Step 4: Simplify right side
    419.48x = 167,543.45
  5. Step 5: Solve for x
    x = 167,543.45/419.48
  6. Step 6: Final answer
    x = 399.41

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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.