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Finding the Fourth Proportional to 419.45, 628.96 and 145.46

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Solution

The fourth proportional to 419.45, 628.96 and 145.46 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.45 : 628.96 = 145.46 : x
  2. Step 2: Convert to fraction form
    419.45/628.96 = 145.46/x
  3. Step 3: Cross multiply
    419.45x = 628.96 × 145.46
  4. Step 4: Simplify right side
    419.45x = 91,489.59
  5. Step 5: Solve for x
    x = 91,489.59/419.45
  6. Step 6: Final answer
    x = 218.12

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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.