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Finding the Fourth Proportional to 306.48, 421.68 and 264.90

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Solution

The fourth proportional to 306.48, 421.68 and 264.90 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 421.68 = 264.90 : x
  2. Step 2: Convert to fraction form
    306.48/421.68 = 264.90/x
  3. Step 3: Cross multiply
    306.48x = 421.68 × 264.90
  4. Step 4: Simplify right side
    306.48x = 111,703.03
  5. Step 5: Solve for x
    x = 111,703.03/306.48
  6. Step 6: Final answer
    x = 364.47

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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.