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Finding the Fourth Proportional to 365.22, 506.67 and 347.40

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Solution

The fourth proportional to 365.22, 506.67 and 347.40 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 506.67 = 347.40 : x
  2. Step 2: Convert to fraction form
    365.22/506.67 = 347.40/x
  3. Step 3: Cross multiply
    365.22x = 506.67 × 347.40
  4. Step 4: Simplify right side
    365.22x = 176,017.16
  5. Step 5: Solve for x
    x = 176,017.16/365.22
  6. Step 6: Final answer
    x = 481.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.