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Finding the Fourth Proportional to 419.15, 627.94 and 351.11

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Solution

The fourth proportional to 419.15, 627.94 and 351.11 is: 526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.15 : 627.94 = 351.11 : x
  2. Step 2: Convert to fraction form
    419.15/627.94 = 351.11/x
  3. Step 3: Cross multiply
    419.15x = 627.94 × 351.11
  4. Step 4: Simplify right side
    419.15x = 220,476.01
  5. Step 5: Solve for x
    x = 220,476.01/419.15
  6. Step 6: Final answer
    x = 526.01

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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.