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Finding the Fourth Proportional to 206.64, 308.45 and 174.15

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Solution

The fourth proportional to 206.64, 308.45 and 174.15 is: 259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 308.45 = 174.15 : x
  2. Step 2: Convert to fraction form
    206.64/308.45 = 174.15/x
  3. Step 3: Cross multiply
    206.64x = 308.45 × 174.15
  4. Step 4: Simplify right side
    206.64x = 53,717.00
  5. Step 5: Solve for x
    x = 53,717.00/206.64
  6. Step 6: Final answer
    x = 259.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.