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Finding the Fourth Proportional to 114.03, 157.79 and 112.10

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Solution

The fourth proportional to 114.03, 157.79 and 112.10 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 157.79 = 112.10 : x
  2. Step 2: Convert to fraction form
    114.03/157.79 = 112.10/x
  3. Step 3: Cross multiply
    114.03x = 157.79 × 112.10
  4. Step 4: Simplify right side
    114.03x = 17,687.75
  5. Step 5: Solve for x
    x = 17,687.75/114.03
  6. Step 6: Final answer
    x = 155.11

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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.