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Finding the Fourth Proportional to 416.20, 623.58 and 277.30

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Solution

The fourth proportional to 416.20, 623.58 and 277.30 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.20 : 623.58 = 277.30 : x
  2. Step 2: Convert to fraction form
    416.20/623.58 = 277.30/x
  3. Step 3: Cross multiply
    416.20x = 623.58 × 277.30
  4. Step 4: Simplify right side
    416.20x = 172,918.73
  5. Step 5: Solve for x
    x = 172,918.73/416.20
  6. Step 6: Final answer
    x = 415.47

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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.