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Finding the Fourth Proportional to 214.72, 321.92 and 99.24

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Solution

The fourth proportional to 214.72, 321.92 and 99.24 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 321.92 = 99.24 : x
  2. Step 2: Convert to fraction form
    214.72/321.92 = 99.24/x
  3. Step 3: Cross multiply
    214.72x = 321.92 × 99.24
  4. Step 4: Simplify right side
    214.72x = 31,947.34
  5. Step 5: Solve for x
    x = 31,947.34/214.72
  6. Step 6: Final answer
    x = 148.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.