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Finding the Fourth Proportional to 157.88, 235.24 and 140.84

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Solution

The fourth proportional to 157.88, 235.24 and 140.84 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 235.24 = 140.84 : x
  2. Step 2: Convert to fraction form
    157.88/235.24 = 140.84/x
  3. Step 3: Cross multiply
    157.88x = 235.24 × 140.84
  4. Step 4: Simplify right side
    157.88x = 33,131.20
  5. Step 5: Solve for x
    x = 33,131.20/157.88
  6. Step 6: Final answer
    x = 209.85

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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.