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Finding the Fourth Proportional to 417.94, 627.11 and 201.53

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Solution

The fourth proportional to 417.94, 627.11 and 201.53 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 627.11 = 201.53 : x
  2. Step 2: Convert to fraction form
    417.94/627.11 = 201.53/x
  3. Step 3: Cross multiply
    417.94x = 627.11 × 201.53
  4. Step 4: Simplify right side
    417.94x = 126,381.48
  5. Step 5: Solve for x
    x = 126,381.48/417.94
  6. Step 6: Final answer
    x = 302.39

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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.