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Finding the Fourth Proportional to 416.83, 625.06 and 211.50

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Solution

The fourth proportional to 416.83, 625.06 and 211.50 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.83 : 625.06 = 211.50 : x
  2. Step 2: Convert to fraction form
    416.83/625.06 = 211.50/x
  3. Step 3: Cross multiply
    416.83x = 625.06 × 211.50
  4. Step 4: Simplify right side
    416.83x = 132,200.19
  5. Step 5: Solve for x
    x = 132,200.19/416.83
  6. Step 6: Final answer
    x = 317.16

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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.