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Finding the Fourth Proportional to 206.50, 310.94 and 170.28

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Solution

The fourth proportional to 206.50, 310.94 and 170.28 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 310.94 = 170.28 : x
  2. Step 2: Convert to fraction form
    206.50/310.94 = 170.28/x
  3. Step 3: Cross multiply
    206.50x = 310.94 × 170.28
  4. Step 4: Simplify right side
    206.50x = 52,946.86
  5. Step 5: Solve for x
    x = 52,946.86/206.50
  6. Step 6: Final answer
    x = 256.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.