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Finding the Fourth Proportional to 416.06, 623.87 and 172.65

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Solution

The fourth proportional to 416.06, 623.87 and 172.65 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.06 : 623.87 = 172.65 : x
  2. Step 2: Convert to fraction form
    416.06/623.87 = 172.65/x
  3. Step 3: Cross multiply
    416.06x = 623.87 × 172.65
  4. Step 4: Simplify right side
    416.06x = 107,710.29
  5. Step 5: Solve for x
    x = 107,710.29/416.06
  6. Step 6: Final answer
    x = 258.88

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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.