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Finding the Fourth Proportional to 114.12, 156.81 and 113.40

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Solution

The fourth proportional to 114.12, 156.81 and 113.40 is: 155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 156.81 = 113.40 : x
  2. Step 2: Convert to fraction form
    114.12/156.81 = 113.40/x
  3. Step 3: Cross multiply
    114.12x = 156.81 × 113.40
  4. Step 4: Simplify right side
    114.12x = 17,782.25
  5. Step 5: Solve for x
    x = 17,782.25/114.12
  6. Step 6: Final answer
    x = 155.82

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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.