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Finding the Fourth Proportional to 365.05, 503.70 and 240.92

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Solution

The fourth proportional to 365.05, 503.70 and 240.92 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 503.70 = 240.92 : x
  2. Step 2: Convert to fraction form
    365.05/503.70 = 240.92/x
  3. Step 3: Cross multiply
    365.05x = 503.70 × 240.92
  4. Step 4: Simplify right side
    365.05x = 121,348.89
  5. Step 5: Solve for x
    x = 121,348.89/365.05
  6. Step 6: Final answer
    x = 332.42

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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.