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Finding the Fourth Proportional to 365.10, 503.88 and 234.42

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Solution

The fourth proportional to 365.10, 503.88 and 234.42 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 503.88 = 234.42 : x
  2. Step 2: Convert to fraction form
    365.10/503.88 = 234.42/x
  3. Step 3: Cross multiply
    365.10x = 503.88 × 234.42
  4. Step 4: Simplify right side
    365.10x = 118,119.55
  5. Step 5: Solve for x
    x = 118,119.55/365.10
  6. Step 6: Final answer
    x = 323.53

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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.