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Finding the Fourth Proportional to 369.55, 507.26 and 327.18

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Solution

The fourth proportional to 369.55, 507.26 and 327.18 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.55 : 507.26 = 327.18 : x
  2. Step 2: Convert to fraction form
    369.55/507.26 = 327.18/x
  3. Step 3: Cross multiply
    369.55x = 507.26 × 327.18
  4. Step 4: Simplify right side
    369.55x = 165,963.69
  5. Step 5: Solve for x
    x = 165,963.69/369.55
  6. Step 6: Final answer
    x = 449.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.