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Finding the Fourth Proportional to 210.56, 288.80 and 204.68

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Solution

The fourth proportional to 210.56, 288.80 and 204.68 is: 280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 288.80 = 204.68 : x
  2. Step 2: Convert to fraction form
    210.56/288.80 = 204.68/x
  3. Step 3: Cross multiply
    210.56x = 288.80 × 204.68
  4. Step 4: Simplify right side
    210.56x = 59,109.12
  5. Step 5: Solve for x
    x = 59,109.12/210.56
  6. Step 6: Final answer
    x = 280.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.