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Finding the Fourth Proportional to 325.91, 491.15 and 305.40

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Solution

The fourth proportional to 325.91, 491.15 and 305.40 is: 460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.91 : 491.15 = 305.40 : x
  2. Step 2: Convert to fraction form
    325.91/491.15 = 305.40/x
  3. Step 3: Cross multiply
    325.91x = 491.15 × 305.40
  4. Step 4: Simplify right side
    325.91x = 149,995.68
  5. Step 5: Solve for x
    x = 149,995.68/325.91
  6. Step 6: Final answer
    x = 460.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.