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Finding the Fourth Proportional to 157.77, 236.52 and 76.65

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Solution

The fourth proportional to 157.77, 236.52 and 76.65 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 236.52 = 76.65 : x
  2. Step 2: Convert to fraction form
    157.77/236.52 = 76.65/x
  3. Step 3: Cross multiply
    157.77x = 236.52 × 76.65
  4. Step 4: Simplify right side
    157.77x = 18,129.26
  5. Step 5: Solve for x
    x = 18,129.26/157.77
  6. Step 6: Final answer
    x = 114.91

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