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Finding the Fourth Proportional to 320.89, 442.70 and 202.84

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Solution

The fourth proportional to 320.89, 442.70 and 202.84 is: 279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.89 : 442.70 = 202.84 : x
  2. Step 2: Convert to fraction form
    320.89/442.70 = 202.84/x
  3. Step 3: Cross multiply
    320.89x = 442.70 × 202.84
  4. Step 4: Simplify right side
    320.89x = 89,795.05
  5. Step 5: Solve for x
    x = 89,795.05/320.89
  6. Step 6: Final answer
    x = 279.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.