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Finding the Fourth Proportional to 157.65, 235.40 and 134.79

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Solution

The fourth proportional to 157.65, 235.40 and 134.79 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.65 : 235.40 = 134.79 : x
  2. Step 2: Convert to fraction form
    157.65/235.40 = 134.79/x
  3. Step 3: Cross multiply
    157.65x = 235.40 × 134.79
  4. Step 4: Simplify right side
    157.65x = 31,729.57
  5. Step 5: Solve for x
    x = 31,729.57/157.65
  6. Step 6: Final answer
    x = 201.27

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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.