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Finding the Fourth Proportional to 320.96, 478.22 and 306.98

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Solution

The fourth proportional to 320.96, 478.22 and 306.98 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 478.22 = 306.98 : x
  2. Step 2: Convert to fraction form
    320.96/478.22 = 306.98/x
  3. Step 3: Cross multiply
    320.96x = 478.22 × 306.98
  4. Step 4: Simplify right side
    320.96x = 146,803.98
  5. Step 5: Solve for x
    x = 146,803.98/320.96
  6. Step 6: Final answer
    x = 457.39

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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.