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Finding the Fourth Proportional to 214.14, 295.46 and 135.45

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Solution

The fourth proportional to 214.14, 295.46 and 135.45 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.46 = 135.45 : x
  2. Step 2: Convert to fraction form
    214.14/295.46 = 135.45/x
  3. Step 3: Cross multiply
    214.14x = 295.46 × 135.45
  4. Step 4: Simplify right side
    214.14x = 40,021.00
  5. Step 5: Solve for x
    x = 40,021.00/214.14
  6. Step 6: Final answer
    x = 186.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.