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Finding the Fourth Proportional to 215.71, 295.74 and 211.82

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Solution

The fourth proportional to 215.71, 295.74 and 211.82 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 295.74 = 211.82 : x
  2. Step 2: Convert to fraction form
    215.71/295.74 = 211.82/x
  3. Step 3: Cross multiply
    215.71x = 295.74 × 211.82
  4. Step 4: Simplify right side
    215.71x = 62,643.65
  5. Step 5: Solve for x
    x = 62,643.65/215.71
  6. Step 6: Final answer
    x = 290.41

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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.