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Finding the Fourth Proportional to 306.40, 421.92 and 264.82

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Solution

The fourth proportional to 306.40, 421.92 and 264.82 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.40 : 421.92 = 264.82 : x
  2. Step 2: Convert to fraction form
    306.40/421.92 = 264.82/x
  3. Step 3: Cross multiply
    306.40x = 421.92 × 264.82
  4. Step 4: Simplify right side
    306.40x = 111,732.85
  5. Step 5: Solve for x
    x = 111,732.85/306.40
  6. Step 6: Final answer
    x = 364.66

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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.