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Finding the Fourth Proportional to 259.69, 389.53 and 163.57

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Solution

The fourth proportional to 259.69, 389.53 and 163.57 is: 245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 389.53 = 163.57 : x
  2. Step 2: Convert to fraction form
    259.69/389.53 = 163.57/x
  3. Step 3: Cross multiply
    259.69x = 389.53 × 163.57
  4. Step 4: Simplify right side
    259.69x = 63,715.42
  5. Step 5: Solve for x
    x = 63,715.42/259.69
  6. Step 6: Final answer
    x = 245.35

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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.