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Finding the Fourth Proportional to 157.26, 235.81 and 76.03

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Solution

The fourth proportional to 157.26, 235.81 and 76.03 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.26 : 235.81 = 76.03 : x
  2. Step 2: Convert to fraction form
    157.26/235.81 = 76.03/x
  3. Step 3: Cross multiply
    157.26x = 235.81 × 76.03
  4. Step 4: Simplify right side
    157.26x = 17,928.14
  5. Step 5: Solve for x
    x = 17,928.14/157.26
  6. Step 6: Final answer
    x = 114.00

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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.