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Finding the Fourth Proportional to 157.90, 236.82 and 76.71

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Solution

The fourth proportional to 157.90, 236.82 and 76.71 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.90 : 236.82 = 76.71 : x
  2. Step 2: Convert to fraction form
    157.90/236.82 = 76.71/x
  3. Step 3: Cross multiply
    157.90x = 236.82 × 76.71
  4. Step 4: Simplify right side
    157.90x = 18,166.46
  5. Step 5: Solve for x
    x = 18,166.46/157.90
  6. Step 6: Final answer
    x = 115.05

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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.