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Finding the Fourth Proportional to 325.76, 482.90 and 320.90

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Solution

The fourth proportional to 325.76, 482.90 and 320.90 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 482.90 = 320.90 : x
  2. Step 2: Convert to fraction form
    325.76/482.90 = 320.90/x
  3. Step 3: Cross multiply
    325.76x = 482.90 × 320.90
  4. Step 4: Simplify right side
    325.76x = 154,958.59
  5. Step 5: Solve for x
    x = 154,958.59/325.76
  6. Step 6: Final answer
    x = 475.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.