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Finding the Fourth Proportional to 365.26, 503.26 and 306.04

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Solution

The fourth proportional to 365.26, 503.26 and 306.04 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.26 : 503.26 = 306.04 : x
  2. Step 2: Convert to fraction form
    365.26/503.26 = 306.04/x
  3. Step 3: Cross multiply
    365.26x = 503.26 × 306.04
  4. Step 4: Simplify right side
    365.26x = 154,013.64
  5. Step 5: Solve for x
    x = 154,013.64/365.26
  6. Step 6: Final answer
    x = 421.66

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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.