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Finding the Fourth Proportional to 306.29, 421.62 and 264.59

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Solution

The fourth proportional to 306.29, 421.62 and 264.59 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 421.62 = 264.59 : x
  2. Step 2: Convert to fraction form
    306.29/421.62 = 264.59/x
  3. Step 3: Cross multiply
    306.29x = 421.62 × 264.59
  4. Step 4: Simplify right side
    306.29x = 111,554.33
  5. Step 5: Solve for x
    x = 111,554.33/306.29
  6. Step 6: Final answer
    x = 364.22

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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.