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Finding the Fourth Proportional to 214.20, 320.11 and 172.61

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Solution

The fourth proportional to 214.20, 320.11 and 172.61 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 320.11 = 172.61 : x
  2. Step 2: Convert to fraction form
    214.20/320.11 = 172.61/x
  3. Step 3: Cross multiply
    214.20x = 320.11 × 172.61
  4. Step 4: Simplify right side
    214.20x = 55,253.36
  5. Step 5: Solve for x
    x = 55,253.36/214.20
  6. Step 6: Final answer
    x = 257.95

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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.