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Finding the Fourth Proportional to 419.01, 627.83 and 187.55

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Solution

The fourth proportional to 419.01, 627.83 and 187.55 is: 281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.01 : 627.83 = 187.55 : x
  2. Step 2: Convert to fraction form
    419.01/627.83 = 187.55/x
  3. Step 3: Cross multiply
    419.01x = 627.83 × 187.55
  4. Step 4: Simplify right side
    419.01x = 117,749.52
  5. Step 5: Solve for x
    x = 117,749.52/419.01
  6. Step 6: Final answer
    x = 281.02

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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.