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Finding the Fourth Proportional to 275.02, 411.78 and 213.88

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Solution

The fourth proportional to 275.02, 411.78 and 213.88 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 411.78 = 213.88 : x
  2. Step 2: Convert to fraction form
    275.02/411.78 = 213.88/x
  3. Step 3: Cross multiply
    275.02x = 411.78 × 213.88
  4. Step 4: Simplify right side
    275.02x = 88,071.51
  5. Step 5: Solve for x
    x = 88,071.51/275.02
  6. Step 6: Final answer
    x = 320.24

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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.