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Finding the Fourth Proportional to 157.49, 235.78 and 116.39

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Solution

The fourth proportional to 157.49, 235.78 and 116.39 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.49 : 235.78 = 116.39 : x
  2. Step 2: Convert to fraction form
    157.49/235.78 = 116.39/x
  3. Step 3: Cross multiply
    157.49x = 235.78 × 116.39
  4. Step 4: Simplify right side
    157.49x = 27,441.26
  5. Step 5: Solve for x
    x = 27,441.26/157.49
  6. Step 6: Final answer
    x = 174.24

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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.