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Finding the Fourth Proportional to 214.05, 293.30 and 212.70

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Solution

The fourth proportional to 214.05, 293.30 and 212.70 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 293.30 = 212.70 : x
  2. Step 2: Convert to fraction form
    214.05/293.30 = 212.70/x
  3. Step 3: Cross multiply
    214.05x = 293.30 × 212.70
  4. Step 4: Simplify right side
    214.05x = 62,385.44
  5. Step 5: Solve for x
    x = 62,385.44/214.05
  6. Step 6: Final answer
    x = 291.45

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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.