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Finding the Fourth Proportional to 305.50, 421.68 and 202

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Solution

The fourth proportional to 305.50, 421.68 and 202 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 421.68 = 202 : x
  2. Step 2: Convert to fraction form
    305.50/421.68 = 202/x
  3. Step 3: Cross multiply
    305.50x = 421.68 × 202
  4. Step 4: Simplify right side
    305.50x = 85,179.36
  5. Step 5: Solve for x
    x = 85,179.36/305.50
  6. Step 6: Final answer
    x = 278.82

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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.