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Finding the Fourth Proportional to 259.96, 389.85 and 95.41

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Solution

The fourth proportional to 259.96, 389.85 and 95.41 is: 143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 389.85 = 95.41 : x
  2. Step 2: Convert to fraction form
    259.96/389.85 = 95.41/x
  3. Step 3: Cross multiply
    259.96x = 389.85 × 95.41
  4. Step 4: Simplify right side
    259.96x = 37,193.64
  5. Step 5: Solve for x
    x = 37,193.64/259.96
  6. Step 6: Final answer
    x = 143.08

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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.