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Finding the Fourth Proportional to 320.99, 442.78 and 202.92

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Solution

The fourth proportional to 320.99, 442.78 and 202.92 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.99 : 442.78 = 202.92 : x
  2. Step 2: Convert to fraction form
    320.99/442.78 = 202.92/x
  3. Step 3: Cross multiply
    320.99x = 442.78 × 202.92
  4. Step 4: Simplify right side
    320.99x = 89,848.92
  5. Step 5: Solve for x
    x = 89,848.92/320.99
  6. Step 6: Final answer
    x = 279.91

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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.