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Finding the Fourth Proportional to 195.04, 291.75 and 158.86

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Solution

The fourth proportional to 195.04, 291.75 and 158.86 is: 237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 291.75 = 158.86 : x
  2. Step 2: Convert to fraction form
    195.04/291.75 = 158.86/x
  3. Step 3: Cross multiply
    195.04x = 291.75 × 158.86
  4. Step 4: Simplify right side
    195.04x = 46,347.41
  5. Step 5: Solve for x
    x = 46,347.41/195.04
  6. Step 6: Final answer
    x = 237.63

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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.