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Finding the Fourth Proportional to 214.58, 322.94 and 163.55

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Solution

The fourth proportional to 214.58, 322.94 and 163.55 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 322.94 = 163.55 : x
  2. Step 2: Convert to fraction form
    214.58/322.94 = 163.55/x
  3. Step 3: Cross multiply
    214.58x = 322.94 × 163.55
  4. Step 4: Simplify right side
    214.58x = 52,818.05
  5. Step 5: Solve for x
    x = 52,818.05/214.58
  6. Step 6: Final answer
    x = 246.14

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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.