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Finding the Fourth Proportional to 365.97, 505.46 and 319.18

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Solution

The fourth proportional to 365.97, 505.46 and 319.18 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 505.46 = 319.18 : x
  2. Step 2: Convert to fraction form
    365.97/505.46 = 319.18/x
  3. Step 3: Cross multiply
    365.97x = 505.46 × 319.18
  4. Step 4: Simplify right side
    365.97x = 161,332.72
  5. Step 5: Solve for x
    x = 161,332.72/365.97
  6. Step 6: Final answer
    x = 440.84

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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.