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Finding the Fourth Proportional to 365.24, 503.35 and 306.28

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Solution

The fourth proportional to 365.24, 503.35 and 306.28 is: 422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 503.35 = 306.28 : x
  2. Step 2: Convert to fraction form
    365.24/503.35 = 306.28/x
  3. Step 3: Cross multiply
    365.24x = 503.35 × 306.28
  4. Step 4: Simplify right side
    365.24x = 154,165.90
  5. Step 5: Solve for x
    x = 154,165.90/365.24
  6. Step 6: Final answer
    x = 422.09

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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.