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Finding the Fourth Proportional to 210.50, 314.07 and 208.88

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Solution

The fourth proportional to 210.50, 314.07 and 208.88 is: 311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 314.07 = 208.88 : x
  2. Step 2: Convert to fraction form
    210.50/314.07 = 208.88/x
  3. Step 3: Cross multiply
    210.50x = 314.07 × 208.88
  4. Step 4: Simplify right side
    210.50x = 65,600.33
  5. Step 5: Solve for x
    x = 65,600.33/210.50
  6. Step 6: Final answer
    x = 311.65

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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.