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Finding the Fourth Proportional to 215.88, 322.14 and 191.60

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Solution

The fourth proportional to 215.88, 322.14 and 191.60 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 322.14 = 191.60 : x
  2. Step 2: Convert to fraction form
    215.88/322.14 = 191.60/x
  3. Step 3: Cross multiply
    215.88x = 322.14 × 191.60
  4. Step 4: Simplify right side
    215.88x = 61,722.02
  5. Step 5: Solve for x
    x = 61,722.02/215.88
  6. Step 6: Final answer
    x = 285.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.