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Finding the Fourth Proportional to 251.10, 346.46 and 157.88

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Solution

The fourth proportional to 251.10, 346.46 and 157.88 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.10 : 346.46 = 157.88 : x
  2. Step 2: Convert to fraction form
    251.10/346.46 = 157.88/x
  3. Step 3: Cross multiply
    251.10x = 346.46 × 157.88
  4. Step 4: Simplify right side
    251.10x = 54,699.10
  5. Step 5: Solve for x
    x = 54,699.10/251.10
  6. Step 6: Final answer
    x = 217.84

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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.