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Finding the Fourth Proportional to 210.73, 317.20 and 192.27

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Solution

The fourth proportional to 210.73, 317.20 and 192.27 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.73 : 317.20 = 192.27 : x
  2. Step 2: Convert to fraction form
    210.73/317.20 = 192.27/x
  3. Step 3: Cross multiply
    210.73x = 317.20 × 192.27
  4. Step 4: Simplify right side
    210.73x = 60,988.04
  5. Step 5: Solve for x
    x = 60,988.04/210.73
  6. Step 6: Final answer
    x = 289.41

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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.