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Finding the Fourth Proportional to 419.09, 627.10 and 253.94

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Solution

The fourth proportional to 419.09, 627.10 and 253.94 is: 379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.09 : 627.10 = 253.94 : x
  2. Step 2: Convert to fraction form
    419.09/627.10 = 253.94/x
  3. Step 3: Cross multiply
    419.09x = 627.10 × 253.94
  4. Step 4: Simplify right side
    419.09x = 159,242.00
  5. Step 5: Solve for x
    x = 159,242.00/419.09
  6. Step 6: Final answer
    x = 379.98

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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.