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Finding the Fourth Proportional to 115.80, 160.85 and 112.38

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Solution

The fourth proportional to 115.80, 160.85 and 112.38 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 160.85 = 112.38 : x
  2. Step 2: Convert to fraction form
    115.80/160.85 = 112.38/x
  3. Step 3: Cross multiply
    115.80x = 160.85 × 112.38
  4. Step 4: Simplify right side
    115.80x = 18,075.76
  5. Step 5: Solve for x
    x = 18,075.76/115.80
  6. Step 6: Final answer
    x = 156.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.