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Finding the Fourth Proportional to 259.45, 389.10 and 105.34

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Solution

The fourth proportional to 259.45, 389.10 and 105.34 is: 157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 389.10 = 105.34 : x
  2. Step 2: Convert to fraction form
    259.45/389.10 = 105.34/x
  3. Step 3: Cross multiply
    259.45x = 389.10 × 105.34
  4. Step 4: Simplify right side
    259.45x = 40,987.79
  5. Step 5: Solve for x
    x = 40,987.79/259.45
  6. Step 6: Final answer
    x = 157.98

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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.