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Finding the Fourth Proportional to 270.30, 404.64 and 216.30

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Solution

The fourth proportional to 270.30, 404.64 and 216.30 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 404.64 = 216.30 : x
  2. Step 2: Convert to fraction form
    270.30/404.64 = 216.30/x
  3. Step 3: Cross multiply
    270.30x = 404.64 × 216.30
  4. Step 4: Simplify right side
    270.30x = 87,523.63
  5. Step 5: Solve for x
    x = 87,523.63/270.30
  6. Step 6: Final answer
    x = 323.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.