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Finding the Fourth Proportional to 325.05, 487.71 and 259.98

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Solution

The fourth proportional to 325.05, 487.71 and 259.98 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.05 : 487.71 = 259.98 : x
  2. Step 2: Convert to fraction form
    325.05/487.71 = 259.98/x
  3. Step 3: Cross multiply
    325.05x = 487.71 × 259.98
  4. Step 4: Simplify right side
    325.05x = 126,794.85
  5. Step 5: Solve for x
    x = 126,794.85/325.05
  6. Step 6: Final answer
    x = 390.08

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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.