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Finding the Fourth Proportional to 157.17, 235.22 and 116.49

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Solution

The fourth proportional to 157.17, 235.22 and 116.49 is: 174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 235.22 = 116.49 : x
  2. Step 2: Convert to fraction form
    157.17/235.22 = 116.49/x
  3. Step 3: Cross multiply
    157.17x = 235.22 × 116.49
  4. Step 4: Simplify right side
    157.17x = 27,400.20
  5. Step 5: Solve for x
    x = 27,400.20/157.17
  6. Step 6: Final answer
    x = 174.33

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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.