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Finding the Fourth Proportional to 157.80, 238.03 and 155.56

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Solution

The fourth proportional to 157.80, 238.03 and 155.56 is: 234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 238.03 = 155.56 : x
  2. Step 2: Convert to fraction form
    157.80/238.03 = 155.56/x
  3. Step 3: Cross multiply
    157.80x = 238.03 × 155.56
  4. Step 4: Simplify right side
    157.80x = 37,027.95
  5. Step 5: Solve for x
    x = 37,027.95/157.80
  6. Step 6: Final answer
    x = 234.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.