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Finding the Fourth Proportional to 206.93, 308.65 and 176.15

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Solution

The fourth proportional to 206.93, 308.65 and 176.15 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 308.65 = 176.15 : x
  2. Step 2: Convert to fraction form
    206.93/308.65 = 176.15/x
  3. Step 3: Cross multiply
    206.93x = 308.65 × 176.15
  4. Step 4: Simplify right side
    206.93x = 54,368.70
  5. Step 5: Solve for x
    x = 54,368.70/206.93
  6. Step 6: Final answer
    x = 262.74

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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.