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Finding the Fourth Proportional to 419.53, 628.72 and 159.27

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Solution

The fourth proportional to 419.53, 628.72 and 159.27 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 628.72 = 159.27 : x
  2. Step 2: Convert to fraction form
    419.53/628.72 = 159.27/x
  3. Step 3: Cross multiply
    419.53x = 628.72 × 159.27
  4. Step 4: Simplify right side
    419.53x = 100,136.23
  5. Step 5: Solve for x
    x = 100,136.23/419.53
  6. Step 6: Final answer
    x = 238.69

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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.