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Finding the Fourth Proportional to 195.14, 291.61 and 159.10

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Solution

The fourth proportional to 195.14, 291.61 and 159.10 is: 237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 291.61 = 159.10 : x
  2. Step 2: Convert to fraction form
    195.14/291.61 = 159.10/x
  3. Step 3: Cross multiply
    195.14x = 291.61 × 159.10
  4. Step 4: Simplify right side
    195.14x = 46,394.36
  5. Step 5: Solve for x
    x = 46,394.36/195.14
  6. Step 6: Final answer
    x = 237.75

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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.