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Finding the Fourth Proportional to 114.01, 156.80 and 113.27

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Solution

The fourth proportional to 114.01, 156.80 and 113.27 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.01 : 156.80 = 113.27 : x
  2. Step 2: Convert to fraction form
    114.01/156.80 = 113.27/x
  3. Step 3: Cross multiply
    114.01x = 156.80 × 113.27
  4. Step 4: Simplify right side
    114.01x = 17,760.24
  5. Step 5: Solve for x
    x = 17,760.24/114.01
  6. Step 6: Final answer
    x = 155.78

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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.