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Finding the Fourth Proportional to 255.08, 380.21 and 247.39

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Solution

The fourth proportional to 255.08, 380.21 and 247.39 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.08 : 380.21 = 247.39 : x
  2. Step 2: Convert to fraction form
    255.08/380.21 = 247.39/x
  3. Step 3: Cross multiply
    255.08x = 380.21 × 247.39
  4. Step 4: Simplify right side
    255.08x = 94,057.96
  5. Step 5: Solve for x
    x = 94,057.96/255.08
  6. Step 6: Final answer
    x = 368.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.