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Finding the Fourth Proportional to 259.61, 389.57 and 115.34

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Solution

The fourth proportional to 259.61, 389.57 and 115.34 is: 173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 389.57 = 115.34 : x
  2. Step 2: Convert to fraction form
    259.61/389.57 = 115.34/x
  3. Step 3: Cross multiply
    259.61x = 389.57 × 115.34
  4. Step 4: Simplify right side
    259.61x = 44,930.48
  5. Step 5: Solve for x
    x = 44,930.48/259.61
  6. Step 6: Final answer
    x = 173.07

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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.