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Finding the Fourth Proportional to 215.58, 295.82 and 211.74

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Solution

The fourth proportional to 215.58, 295.82 and 211.74 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 295.82 = 211.74 : x
  2. Step 2: Convert to fraction form
    215.58/295.82 = 211.74/x
  3. Step 3: Cross multiply
    215.58x = 295.82 × 211.74
  4. Step 4: Simplify right side
    215.58x = 62,635.87
  5. Step 5: Solve for x
    x = 62,635.87/215.58
  6. Step 6: Final answer
    x = 290.55

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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.