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Finding the Fourth Proportional to 365.74, 546.35 and 329.12

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Solution

The fourth proportional to 365.74, 546.35 and 329.12 is: 491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.74 : 546.35 = 329.12 : x
  2. Step 2: Convert to fraction form
    365.74/546.35 = 329.12/x
  3. Step 3: Cross multiply
    365.74x = 546.35 × 329.12
  4. Step 4: Simplify right side
    365.74x = 179,810.33
  5. Step 5: Solve for x
    x = 179,810.33/365.74
  6. Step 6: Final answer
    x = 491.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.