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Finding the Fourth Proportional to 251.13, 346.73 and 157.91

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Solution

The fourth proportional to 251.13, 346.73 and 157.91 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.13 : 346.73 = 157.91 : x
  2. Step 2: Convert to fraction form
    251.13/346.73 = 157.91/x
  3. Step 3: Cross multiply
    251.13x = 346.73 × 157.91
  4. Step 4: Simplify right side
    251.13x = 54,752.13
  5. Step 5: Solve for x
    x = 54,752.13/251.13
  6. Step 6: Final answer
    x = 218.02

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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.