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Finding the Fourth Proportional to 235.84, 324.12 and 202.90

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Solution

The fourth proportional to 235.84, 324.12 and 202.90 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.84 : 324.12 = 202.90 : x
  2. Step 2: Convert to fraction form
    235.84/324.12 = 202.90/x
  3. Step 3: Cross multiply
    235.84x = 324.12 × 202.90
  4. Step 4: Simplify right side
    235.84x = 65,763.95
  5. Step 5: Solve for x
    x = 65,763.95/235.84
  6. Step 6: Final answer
    x = 278.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.