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Finding the Fourth Proportional to 215.34, 321.46 and 188

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Solution

The fourth proportional to 215.34, 321.46 and 188 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 321.46 = 188 : x
  2. Step 2: Convert to fraction form
    215.34/321.46 = 188/x
  3. Step 3: Cross multiply
    215.34x = 321.46 × 188
  4. Step 4: Simplify right side
    215.34x = 60,434.48
  5. Step 5: Solve for x
    x = 60,434.48/215.34
  6. Step 6: Final answer
    x = 280.65

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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.