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Finding the Fourth Proportional to 416.45, 623.58 and 269.97

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Solution

The fourth proportional to 416.45, 623.58 and 269.97 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.45 : 623.58 = 269.97 : x
  2. Step 2: Convert to fraction form
    416.45/623.58 = 269.97/x
  3. Step 3: Cross multiply
    416.45x = 623.58 × 269.97
  4. Step 4: Simplify right side
    416.45x = 168,347.89
  5. Step 5: Solve for x
    x = 168,347.89/416.45
  6. Step 6: Final answer
    x = 404.25

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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.