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Finding the Fourth Proportional to 210.64, 317.09 and 191.80

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Solution

The fourth proportional to 210.64, 317.09 and 191.80 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 317.09 = 191.80 : x
  2. Step 2: Convert to fraction form
    210.64/317.09 = 191.80/x
  3. Step 3: Cross multiply
    210.64x = 317.09 × 191.80
  4. Step 4: Simplify right side
    210.64x = 60,817.86
  5. Step 5: Solve for x
    x = 60,817.86/210.64
  6. Step 6: Final answer
    x = 288.73

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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.