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Finding the Fourth Proportional to 320.28, 478.47 and 318.48

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Solution

The fourth proportional to 320.28, 478.47 and 318.48 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.28 : 478.47 = 318.48 : x
  2. Step 2: Convert to fraction form
    320.28/478.47 = 318.48/x
  3. Step 3: Cross multiply
    320.28x = 478.47 × 318.48
  4. Step 4: Simplify right side
    320.28x = 152,383.13
  5. Step 5: Solve for x
    x = 152,383.13/320.28
  6. Step 6: Final answer
    x = 475.78

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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.