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Finding the Fourth Proportional to 321.84, 478.85 and 320.76

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Solution

The fourth proportional to 321.84, 478.85 and 320.76 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 478.85 = 320.76 : x
  2. Step 2: Convert to fraction form
    321.84/478.85 = 320.76/x
  3. Step 3: Cross multiply
    321.84x = 478.85 × 320.76
  4. Step 4: Simplify right side
    321.84x = 153,594.32
  5. Step 5: Solve for x
    x = 153,594.32/321.84
  6. Step 6: Final answer
    x = 477.24

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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.