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Finding the Fourth Proportional to 114.65, 157.31 and 111.58

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Solution

The fourth proportional to 114.65, 157.31 and 111.58 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 157.31 = 111.58 : x
  2. Step 2: Convert to fraction form
    114.65/157.31 = 111.58/x
  3. Step 3: Cross multiply
    114.65x = 157.31 × 111.58
  4. Step 4: Simplify right side
    114.65x = 17,552.12
  5. Step 5: Solve for x
    x = 17,552.12/114.65
  6. Step 6: Final answer
    x = 153.09

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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.