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Finding the Fourth Proportional to 243.18, 362.72 and 206.70

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Solution

The fourth proportional to 243.18, 362.72 and 206.70 is: 308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.18 : 362.72 = 206.70 : x
  2. Step 2: Convert to fraction form
    243.18/362.72 = 206.70/x
  3. Step 3: Cross multiply
    243.18x = 362.72 × 206.70
  4. Step 4: Simplify right side
    243.18x = 74,973.19
  5. Step 5: Solve for x
    x = 74,973.19/243.18
  6. Step 6: Final answer
    x = 308.30

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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.