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Finding the Fourth Proportional to 207.42, 308.90 and 195

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Solution

The fourth proportional to 207.42, 308.90 and 195 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 308.90 = 195 : x
  2. Step 2: Convert to fraction form
    207.42/308.90 = 195/x
  3. Step 3: Cross multiply
    207.42x = 308.90 × 195
  4. Step 4: Simplify right side
    207.42x = 60,235.50
  5. Step 5: Solve for x
    x = 60,235.50/207.42
  6. Step 6: Final answer
    x = 290.40

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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.