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Finding the Fourth Proportional to 157.80, 235.60 and 142.44

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Solution

The fourth proportional to 157.80, 235.60 and 142.44 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 235.60 = 142.44 : x
  2. Step 2: Convert to fraction form
    157.80/235.60 = 142.44/x
  3. Step 3: Cross multiply
    157.80x = 235.60 × 142.44
  4. Step 4: Simplify right side
    157.80x = 33,558.86
  5. Step 5: Solve for x
    x = 33,558.86/157.80
  6. Step 6: Final answer
    x = 212.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.