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Finding the Fourth Proportional to 215.33, 321.62 and 186.53

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Solution

The fourth proportional to 215.33, 321.62 and 186.53 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.33 : 321.62 = 186.53 : x
  2. Step 2: Convert to fraction form
    215.33/321.62 = 186.53/x
  3. Step 3: Cross multiply
    215.33x = 321.62 × 186.53
  4. Step 4: Simplify right side
    215.33x = 59,989.24
  5. Step 5: Solve for x
    x = 59,989.24/215.33
  6. Step 6: Final answer
    x = 278.60

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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.