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Finding the Fourth Proportional to 157.76, 236.62 and 76.58

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Solution

The fourth proportional to 157.76, 236.62 and 76.58 is: 114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 236.62 = 76.58 : x
  2. Step 2: Convert to fraction form
    157.76/236.62 = 76.58/x
  3. Step 3: Cross multiply
    157.76x = 236.62 × 76.58
  4. Step 4: Simplify right side
    157.76x = 18,120.36
  5. Step 5: Solve for x
    x = 18,120.36/157.76
  6. Step 6: Final answer
    x = 114.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.