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Finding the Fourth Proportional to 114.36, 156.86 and 113.38

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Solution

The fourth proportional to 114.36, 156.86 and 113.38 is: 155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.36 : 156.86 = 113.38 : x
  2. Step 2: Convert to fraction form
    114.36/156.86 = 113.38/x
  3. Step 3: Cross multiply
    114.36x = 156.86 × 113.38
  4. Step 4: Simplify right side
    114.36x = 17,784.79
  5. Step 5: Solve for x
    x = 17,784.79/114.36
  6. Step 6: Final answer
    x = 155.52

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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.