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Finding the Fourth Proportional to 416.25, 623.22 and 279.12

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Solution

The fourth proportional to 416.25, 623.22 and 279.12 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 623.22 = 279.12 : x
  2. Step 2: Convert to fraction form
    416.25/623.22 = 279.12/x
  3. Step 3: Cross multiply
    416.25x = 623.22 × 279.12
  4. Step 4: Simplify right side
    416.25x = 173,953.17
  5. Step 5: Solve for x
    x = 173,953.17/416.25
  6. Step 6: Final answer
    x = 417.91

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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.