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Finding the Fourth Proportional to 264.20, 364.78 and 171.00

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Solution

The fourth proportional to 264.20, 364.78 and 171.00 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 364.78 = 171.00 : x
  2. Step 2: Convert to fraction form
    264.20/364.78 = 171.00/x
  3. Step 3: Cross multiply
    264.20x = 364.78 × 171.00
  4. Step 4: Simplify right side
    264.20x = 62,375.56
  5. Step 5: Solve for x
    x = 62,375.56/264.20
  6. Step 6: Final answer
    x = 236.10

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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.