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Finding the Fourth Proportional to 114.34, 158.60 and 110.56

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Solution

The fourth proportional to 114.34, 158.60 and 110.56 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 158.60 = 110.56 : x
  2. Step 2: Convert to fraction form
    114.34/158.60 = 110.56/x
  3. Step 3: Cross multiply
    114.34x = 158.60 × 110.56
  4. Step 4: Simplify right side
    114.34x = 17,534.82
  5. Step 5: Solve for x
    x = 17,534.82/114.34
  6. Step 6: Final answer
    x = 153.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.