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Finding the Fourth Proportional to 255.56, 383.08 and 82.10

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Solution

The fourth proportional to 255.56, 383.08 and 82.10 is: 123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 383.08 = 82.10 : x
  2. Step 2: Convert to fraction form
    255.56/383.08 = 82.10/x
  3. Step 3: Cross multiply
    255.56x = 383.08 × 82.10
  4. Step 4: Simplify right side
    255.56x = 31,449.06
  5. Step 5: Solve for x
    x = 31,449.06/255.56
  6. Step 6: Final answer
    x = 123.06

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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.