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Finding the Fourth Proportional to 215.88, 321.42 and 214.80

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Solution

The fourth proportional to 215.88, 321.42 and 214.80 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 321.42 = 214.80 : x
  2. Step 2: Convert to fraction form
    215.88/321.42 = 214.80/x
  3. Step 3: Cross multiply
    215.88x = 321.42 × 214.80
  4. Step 4: Simplify right side
    215.88x = 69,041.02
  5. Step 5: Solve for x
    x = 69,041.02/215.88
  6. Step 6: Final answer
    x = 319.81

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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.