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Finding the Fourth Proportional to 416.19, 627.21 and 375.11

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Solution

The fourth proportional to 416.19, 627.21 and 375.11 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 627.21 = 375.11 : x
  2. Step 2: Convert to fraction form
    416.19/627.21 = 375.11/x
  3. Step 3: Cross multiply
    416.19x = 627.21 × 375.11
  4. Step 4: Simplify right side
    416.19x = 235,272.74
  5. Step 5: Solve for x
    x = 235,272.74/416.19
  6. Step 6: Final answer
    x = 565.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.