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Finding the Fourth Proportional to 115.18, 157.55 and 114.82

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Solution

The fourth proportional to 115.18, 157.55 and 114.82 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.18 : 157.55 = 114.82 : x
  2. Step 2: Convert to fraction form
    115.18/157.55 = 114.82/x
  3. Step 3: Cross multiply
    115.18x = 157.55 × 114.82
  4. Step 4: Simplify right side
    115.18x = 18,089.89
  5. Step 5: Solve for x
    x = 18,089.89/115.18
  6. Step 6: Final answer
    x = 157.06

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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.