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Finding the Fourth Proportional to 210.27, 313.77 and 208.45

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Solution

The fourth proportional to 210.27, 313.77 and 208.45 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.27 : 313.77 = 208.45 : x
  2. Step 2: Convert to fraction form
    210.27/313.77 = 208.45/x
  3. Step 3: Cross multiply
    210.27x = 313.77 × 208.45
  4. Step 4: Simplify right side
    210.27x = 65,405.36
  5. Step 5: Solve for x
    x = 65,405.36/210.27
  6. Step 6: Final answer
    x = 311.05

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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.