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Finding the Fourth Proportional to 195.59, 293.45 and 99.38

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Solution

The fourth proportional to 195.59, 293.45 and 99.38 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.59 : 293.45 = 99.38 : x
  2. Step 2: Convert to fraction form
    195.59/293.45 = 99.38/x
  3. Step 3: Cross multiply
    195.59x = 293.45 × 99.38
  4. Step 4: Simplify right side
    195.59x = 29,161.10
  5. Step 5: Solve for x
    x = 29,161.10/195.59
  6. Step 6: Final answer
    x = 149.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.