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Finding the Fourth Proportional to 157.86, 235.22 and 140.84

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Solution

The fourth proportional to 157.86, 235.22 and 140.84 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.86 : 235.22 = 140.84 : x
  2. Step 2: Convert to fraction form
    157.86/235.22 = 140.84/x
  3. Step 3: Cross multiply
    157.86x = 235.22 × 140.84
  4. Step 4: Simplify right side
    157.86x = 33,128.38
  5. Step 5: Solve for x
    x = 33,128.38/157.86
  6. Step 6: Final answer
    x = 209.86

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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.