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Finding the Fourth Proportional to 321.01, 442.84 and 202.93

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Solution

The fourth proportional to 321.01, 442.84 and 202.93 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.01 : 442.84 = 202.93 : x
  2. Step 2: Convert to fraction form
    321.01/442.84 = 202.93/x
  3. Step 3: Cross multiply
    321.01x = 442.84 × 202.93
  4. Step 4: Simplify right side
    321.01x = 89,865.52
  5. Step 5: Solve for x
    x = 89,865.52/321.01
  6. Step 6: Final answer
    x = 279.95

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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.