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Finding the Fourth Proportional to 214.81, 322.05 and 123.55

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Solution

The fourth proportional to 214.81, 322.05 and 123.55 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 322.05 = 123.55 : x
  2. Step 2: Convert to fraction form
    214.81/322.05 = 123.55/x
  3. Step 3: Cross multiply
    214.81x = 322.05 × 123.55
  4. Step 4: Simplify right side
    214.81x = 39,789.28
  5. Step 5: Solve for x
    x = 39,789.28/214.81
  6. Step 6: Final answer
    x = 185.23

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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.