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Finding the Fourth Proportional to 157.91, 215.99 and 155.39

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Solution

The fourth proportional to 157.91, 215.99 and 155.39 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.91 : 215.99 = 155.39 : x
  2. Step 2: Convert to fraction form
    157.91/215.99 = 155.39/x
  3. Step 3: Cross multiply
    157.91x = 215.99 × 155.39
  4. Step 4: Simplify right side
    157.91x = 33,562.69
  5. Step 5: Solve for x
    x = 33,562.69/157.91
  6. Step 6: Final answer
    x = 212.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.