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Finding the Fourth Proportional to 416.14, 623.29 and 278.55

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Solution

The fourth proportional to 416.14, 623.29 and 278.55 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 623.29 = 278.55 : x
  2. Step 2: Convert to fraction form
    416.14/623.29 = 278.55/x
  3. Step 3: Cross multiply
    416.14x = 623.29 × 278.55
  4. Step 4: Simplify right side
    416.14x = 173,617.43
  5. Step 5: Solve for x
    x = 173,617.43/416.14
  6. Step 6: Final answer
    x = 417.21

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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.