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Finding the Fourth Proportional to 214.95, 320.42 and 212.52

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Solution

The fourth proportional to 214.95, 320.42 and 212.52 is: 316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.95 : 320.42 = 212.52 : x
  2. Step 2: Convert to fraction form
    214.95/320.42 = 212.52/x
  3. Step 3: Cross multiply
    214.95x = 320.42 × 212.52
  4. Step 4: Simplify right side
    214.95x = 68,094.60
  5. Step 5: Solve for x
    x = 68,094.60/214.95
  6. Step 6: Final answer
    x = 316.79

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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.