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Finding the Fourth Proportional to 210.54, 316.44 and 183.81

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Solution

The fourth proportional to 210.54, 316.44 and 183.81 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 316.44 = 183.81 : x
  2. Step 2: Convert to fraction form
    210.54/316.44 = 183.81/x
  3. Step 3: Cross multiply
    210.54x = 316.44 × 183.81
  4. Step 4: Simplify right side
    210.54x = 58,164.84
  5. Step 5: Solve for x
    x = 58,164.84/210.54
  6. Step 6: Final answer
    x = 276.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.