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Finding the Fourth Proportional to 306.40, 422.68 and 264.94

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Solution

The fourth proportional to 306.40, 422.68 and 264.94 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.40 : 422.68 = 264.94 : x
  2. Step 2: Convert to fraction form
    306.40/422.68 = 264.94/x
  3. Step 3: Cross multiply
    306.40x = 422.68 × 264.94
  4. Step 4: Simplify right side
    306.40x = 111,984.84
  5. Step 5: Solve for x
    x = 111,984.84/306.40
  6. Step 6: Final answer
    x = 365.49

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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.