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Finding the Fourth Proportional to 214.37, 297.08 and 211.76

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Solution

The fourth proportional to 214.37, 297.08 and 211.76 is: 293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 297.08 = 211.76 : x
  2. Step 2: Convert to fraction form
    214.37/297.08 = 211.76/x
  3. Step 3: Cross multiply
    214.37x = 297.08 × 211.76
  4. Step 4: Simplify right side
    214.37x = 62,907.12
  5. Step 5: Solve for x
    x = 62,907.12/214.37
  6. Step 6: Final answer
    x = 293.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.