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Finding the Fourth Proportional to 215.37, 297 and 212.31

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Solution

The fourth proportional to 215.37, 297 and 212.31 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 297 = 212.31 : x
  2. Step 2: Convert to fraction form
    215.37/297 = 212.31/x
  3. Step 3: Cross multiply
    215.37x = 297 × 212.31
  4. Step 4: Simplify right side
    215.37x = 63,056.07
  5. Step 5: Solve for x
    x = 63,056.07/215.37
  6. Step 6: Final answer
    x = 292.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.