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Finding the Fourth Proportional to 116.53, 159.68 and 112.28

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Solution

The fourth proportional to 116.53, 159.68 and 112.28 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 159.68 = 112.28 : x
  2. Step 2: Convert to fraction form
    116.53/159.68 = 112.28/x
  3. Step 3: Cross multiply
    116.53x = 159.68 × 112.28
  4. Step 4: Simplify right side
    116.53x = 17,927.51
  5. Step 5: Solve for x
    x = 17,927.51/116.53
  6. Step 6: Final answer
    x = 153.85

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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.