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Finding the Fourth Proportional to 320.28, 478.12 and 271.68

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Solution

The fourth proportional to 320.28, 478.12 and 271.68 is: 405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.28 : 478.12 = 271.68 : x
  2. Step 2: Convert to fraction form
    320.28/478.12 = 271.68/x
  3. Step 3: Cross multiply
    320.28x = 478.12 × 271.68
  4. Step 4: Simplify right side
    320.28x = 129,895.64
  5. Step 5: Solve for x
    x = 129,895.64/320.28
  6. Step 6: Final answer
    x = 405.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.