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Finding the Fourth Proportional to 214.84, 323.54 and 188.11

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Solution

The fourth proportional to 214.84, 323.54 and 188.11 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 323.54 = 188.11 : x
  2. Step 2: Convert to fraction form
    214.84/323.54 = 188.11/x
  3. Step 3: Cross multiply
    214.84x = 323.54 × 188.11
  4. Step 4: Simplify right side
    214.84x = 60,859.49
  5. Step 5: Solve for x
    x = 60,859.49/214.84
  6. Step 6: Final answer
    x = 283.28

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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.