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Finding the Fourth Proportional to 113.59, 155.73 and 111.54

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Solution

The fourth proportional to 113.59, 155.73 and 111.54 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 155.73 = 111.54 : x
  2. Step 2: Convert to fraction form
    113.59/155.73 = 111.54/x
  3. Step 3: Cross multiply
    113.59x = 155.73 × 111.54
  4. Step 4: Simplify right side
    113.59x = 17,369.58
  5. Step 5: Solve for x
    x = 17,369.58/113.59
  6. Step 6: Final answer
    x = 152.92

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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.