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Finding the Fourth Proportional to 416.14, 624.31 and 210.70

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Solution

The fourth proportional to 416.14, 624.31 and 210.70 is: 316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 624.31 = 210.70 : x
  2. Step 2: Convert to fraction form
    416.14/624.31 = 210.70/x
  3. Step 3: Cross multiply
    416.14x = 624.31 × 210.70
  4. Step 4: Simplify right side
    416.14x = 131,542.37
  5. Step 5: Solve for x
    x = 131,542.37/416.14
  6. Step 6: Final answer
    x = 316.10

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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.