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Finding the Fourth Proportional to 114.88, 156.40 and 112.96

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Solution

The fourth proportional to 114.88, 156.40 and 112.96 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 156.40 = 112.96 : x
  2. Step 2: Convert to fraction form
    114.88/156.40 = 112.96/x
  3. Step 3: Cross multiply
    114.88x = 156.40 × 112.96
  4. Step 4: Simplify right side
    114.88x = 17,666.94
  5. Step 5: Solve for x
    x = 17,666.94/114.88
  6. Step 6: Final answer
    x = 153.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.