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Finding the Fourth Proportional to 210.94, 314.02 and 208.60

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Solution

The fourth proportional to 210.94, 314.02 and 208.60 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 314.02 = 208.60 : x
  2. Step 2: Convert to fraction form
    210.94/314.02 = 208.60/x
  3. Step 3: Cross multiply
    210.94x = 314.02 × 208.60
  4. Step 4: Simplify right side
    210.94x = 65,504.57
  5. Step 5: Solve for x
    x = 65,504.57/210.94
  6. Step 6: Final answer
    x = 310.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.