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Finding the Fourth Proportional to 114.59, 159.18 and 113.48

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Solution

The fourth proportional to 114.59, 159.18 and 113.48 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 159.18 = 113.48 : x
  2. Step 2: Convert to fraction form
    114.59/159.18 = 113.48/x
  3. Step 3: Cross multiply
    114.59x = 159.18 × 113.48
  4. Step 4: Simplify right side
    114.59x = 18,062.95
  5. Step 5: Solve for x
    x = 18,062.95/114.59
  6. Step 6: Final answer
    x = 157.64

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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.