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Finding the Fourth Proportional to 365.13, 504.45 and 310.44

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Solution

The fourth proportional to 365.13, 504.45 and 310.44 is: 428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 504.45 = 310.44 : x
  2. Step 2: Convert to fraction form
    365.13/504.45 = 310.44/x
  3. Step 3: Cross multiply
    365.13x = 504.45 × 310.44
  4. Step 4: Simplify right side
    365.13x = 156,601.46
  5. Step 5: Solve for x
    x = 156,601.46/365.13
  6. Step 6: Final answer
    x = 428.89

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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.