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Finding the Fourth Proportional to 114.72, 157.35 and 112.02

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Solution

The fourth proportional to 114.72, 157.35 and 112.02 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 157.35 = 112.02 : x
  2. Step 2: Convert to fraction form
    114.72/157.35 = 112.02/x
  3. Step 3: Cross multiply
    114.72x = 157.35 × 112.02
  4. Step 4: Simplify right side
    114.72x = 17,626.35
  5. Step 5: Solve for x
    x = 17,626.35/114.72
  6. Step 6: Final answer
    x = 153.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.