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Finding the Fourth Proportional to 416.21, 626.60 and 365.18

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Solution

The fourth proportional to 416.21, 626.60 and 365.18 is: 549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 626.60 = 365.18 : x
  2. Step 2: Convert to fraction form
    416.21/626.60 = 365.18/x
  3. Step 3: Cross multiply
    416.21x = 626.60 × 365.18
  4. Step 4: Simplify right side
    416.21x = 228,819.57
  5. Step 5: Solve for x
    x = 228,819.57/416.21
  6. Step 6: Final answer
    x = 549.78

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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.