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Finding the Fourth Proportional to 291.70, 402.42 and 186.75

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Solution

The fourth proportional to 291.70, 402.42 and 186.75 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.70 : 402.42 = 186.75 : x
  2. Step 2: Convert to fraction form
    291.70/402.42 = 186.75/x
  3. Step 3: Cross multiply
    291.70x = 402.42 × 186.75
  4. Step 4: Simplify right side
    291.70x = 75,150.45
  5. Step 5: Solve for x
    x = 75,150.45/291.70
  6. Step 6: Final answer
    x = 257.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.