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Finding the Fourth Proportional to 214.45, 323.04 and 193.08

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Solution

The fourth proportional to 214.45, 323.04 and 193.08 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 323.04 = 193.08 : x
  2. Step 2: Convert to fraction form
    214.45/323.04 = 193.08/x
  3. Step 3: Cross multiply
    214.45x = 323.04 × 193.08
  4. Step 4: Simplify right side
    214.45x = 62,373.41
  5. Step 5: Solve for x
    x = 62,373.41/214.45
  6. Step 6: Final answer
    x = 290.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.