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Finding the Fourth Proportional to 419.21, 628.42 and 159.03

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Solution

The fourth proportional to 419.21, 628.42 and 159.03 is: 238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 628.42 = 159.03 : x
  2. Step 2: Convert to fraction form
    419.21/628.42 = 159.03/x
  3. Step 3: Cross multiply
    419.21x = 628.42 × 159.03
  4. Step 4: Simplify right side
    419.21x = 99,937.63
  5. Step 5: Solve for x
    x = 99,937.63/419.21
  6. Step 6: Final answer
    x = 238.40

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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.