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Finding the Fourth Proportional to 157.70, 236.62 and 102.76

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Solution

The fourth proportional to 157.70, 236.62 and 102.76 is: 154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 236.62 = 102.76 : x
  2. Step 2: Convert to fraction form
    157.70/236.62 = 102.76/x
  3. Step 3: Cross multiply
    157.70x = 236.62 × 102.76
  4. Step 4: Simplify right side
    157.70x = 24,313.89
  5. Step 5: Solve for x
    x = 24,313.89/157.70
  6. Step 6: Final answer
    x = 154.18

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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.