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Finding the Fourth Proportional to 157.46, 236.44 and 140.14

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Solution

The fourth proportional to 157.46, 236.44 and 140.14 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.46 : 236.44 = 140.14 : x
  2. Step 2: Convert to fraction form
    157.46/236.44 = 140.14/x
  3. Step 3: Cross multiply
    157.46x = 236.44 × 140.14
  4. Step 4: Simplify right side
    157.46x = 33,133.52
  5. Step 5: Solve for x
    x = 33,133.52/157.46
  6. Step 6: Final answer
    x = 210.42

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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.