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Finding the Fourth Proportional to 264.08, 364.17 and 194.19

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Solution

The fourth proportional to 264.08, 364.17 and 194.19 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 364.17 = 194.19 : x
  2. Step 2: Convert to fraction form
    264.08/364.17 = 194.19/x
  3. Step 3: Cross multiply
    264.08x = 364.17 × 194.19
  4. Step 4: Simplify right side
    264.08x = 70,718.17
  5. Step 5: Solve for x
    x = 70,718.17/264.08
  6. Step 6: Final answer
    x = 267.79

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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.