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Finding the Fourth Proportional to 214.63, 296.76 and 170.89

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Solution

The fourth proportional to 214.63, 296.76 and 170.89 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 296.76 = 170.89 : x
  2. Step 2: Convert to fraction form
    214.63/296.76 = 170.89/x
  3. Step 3: Cross multiply
    214.63x = 296.76 × 170.89
  4. Step 4: Simplify right side
    214.63x = 50,713.32
  5. Step 5: Solve for x
    x = 50,713.32/214.63
  6. Step 6: Final answer
    x = 236.28

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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.