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Finding the Fourth Proportional to 365.72, 546.02 and 321.64

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Solution

The fourth proportional to 365.72, 546.02 and 321.64 is: 480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 546.02 = 321.64 : x
  2. Step 2: Convert to fraction form
    365.72/546.02 = 321.64/x
  3. Step 3: Cross multiply
    365.72x = 546.02 × 321.64
  4. Step 4: Simplify right side
    365.72x = 175,618.90
  5. Step 5: Solve for x
    x = 175,618.90/365.72
  6. Step 6: Final answer
    x = 480.20

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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.