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Finding the Fourth Proportional to 210.82, 317.86 and 208.10

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Solution

The fourth proportional to 210.82, 317.86 and 208.10 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 317.86 = 208.10 : x
  2. Step 2: Convert to fraction form
    210.82/317.86 = 208.10/x
  3. Step 3: Cross multiply
    210.82x = 317.86 × 208.10
  4. Step 4: Simplify right side
    210.82x = 66,146.67
  5. Step 5: Solve for x
    x = 66,146.67/210.82
  6. Step 6: Final answer
    x = 313.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.