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Finding the Fourth Proportional to 206.19, 310.79 and 188.88

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Solution

The fourth proportional to 206.19, 310.79 and 188.88 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.19 : 310.79 = 188.88 : x
  2. Step 2: Convert to fraction form
    206.19/310.79 = 188.88/x
  3. Step 3: Cross multiply
    206.19x = 310.79 × 188.88
  4. Step 4: Simplify right side
    206.19x = 58,702.02
  5. Step 5: Solve for x
    x = 58,702.02/206.19
  6. Step 6: Final answer
    x = 284.70

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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.