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Finding the Fourth Proportional to 325.14, 488.54 and 305.70

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Solution

The fourth proportional to 325.14, 488.54 and 305.70 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 488.54 = 305.70 : x
  2. Step 2: Convert to fraction form
    325.14/488.54 = 305.70/x
  3. Step 3: Cross multiply
    325.14x = 488.54 × 305.70
  4. Step 4: Simplify right side
    325.14x = 149,346.68
  5. Step 5: Solve for x
    x = 149,346.68/325.14
  6. Step 6: Final answer
    x = 459.33

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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.