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Finding the Fourth Proportional to 259.10, 386.27 and 238.55

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Solution

The fourth proportional to 259.10, 386.27 and 238.55 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 386.27 = 238.55 : x
  2. Step 2: Convert to fraction form
    259.10/386.27 = 238.55/x
  3. Step 3: Cross multiply
    259.10x = 386.27 × 238.55
  4. Step 4: Simplify right side
    259.10x = 92,142.48
  5. Step 5: Solve for x
    x = 92,142.48/259.10
  6. Step 6: Final answer
    x = 355.63

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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.