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Finding the Fourth Proportional to 320.85, 478.96 and 281.93

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Solution

The fourth proportional to 320.85, 478.96 and 281.93 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.85 : 478.96 = 281.93 : x
  2. Step 2: Convert to fraction form
    320.85/478.96 = 281.93/x
  3. Step 3: Cross multiply
    320.85x = 478.96 × 281.93
  4. Step 4: Simplify right side
    320.85x = 135,031.31
  5. Step 5: Solve for x
    x = 135,031.31/320.85
  6. Step 6: Final answer
    x = 420.85

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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.