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Finding the Fourth Proportional to 416.37, 627.48 and 375.30

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Solution

The fourth proportional to 416.37, 627.48 and 375.30 is: 565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 627.48 = 375.30 : x
  2. Step 2: Convert to fraction form
    416.37/627.48 = 375.30/x
  3. Step 3: Cross multiply
    416.37x = 627.48 × 375.30
  4. Step 4: Simplify right side
    416.37x = 235,493.24
  5. Step 5: Solve for x
    x = 235,493.24/416.37
  6. Step 6: Final answer
    x = 565.58

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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.