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Finding the Fourth Proportional to 114.88, 159.08 and 105.76

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Solution

The fourth proportional to 114.88, 159.08 and 105.76 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 159.08 = 105.76 : x
  2. Step 2: Convert to fraction form
    114.88/159.08 = 105.76/x
  3. Step 3: Cross multiply
    114.88x = 159.08 × 105.76
  4. Step 4: Simplify right side
    114.88x = 16,824.30
  5. Step 5: Solve for x
    x = 16,824.30/114.88
  6. Step 6: Final answer
    x = 146.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.