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Finding the Fourth Proportional to 194.32, 291.30 and 154

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Solution

The fourth proportional to 194.32, 291.30 and 154 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 291.30 = 154 : x
  2. Step 2: Convert to fraction form
    194.32/291.30 = 154/x
  3. Step 3: Cross multiply
    194.32x = 291.30 × 154
  4. Step 4: Simplify right side
    194.32x = 44,860.20
  5. Step 5: Solve for x
    x = 44,860.20/194.32
  6. Step 6: Final answer
    x = 230.86

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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.