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Finding the Fourth Proportional to 320.68, 478.31 and 312.04

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Solution

The fourth proportional to 320.68, 478.31 and 312.04 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.68 : 478.31 = 312.04 : x
  2. Step 2: Convert to fraction form
    320.68/478.31 = 312.04/x
  3. Step 3: Cross multiply
    320.68x = 478.31 × 312.04
  4. Step 4: Simplify right side
    320.68x = 149,251.85
  5. Step 5: Solve for x
    x = 149,251.85/320.68
  6. Step 6: Final answer
    x = 465.42

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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.