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Finding the Fourth Proportional to 114.08, 158.13 and 111.83

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Solution

The fourth proportional to 114.08, 158.13 and 111.83 is: 155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 158.13 = 111.83 : x
  2. Step 2: Convert to fraction form
    114.08/158.13 = 111.83/x
  3. Step 3: Cross multiply
    114.08x = 158.13 × 111.83
  4. Step 4: Simplify right side
    114.08x = 17,682.89
  5. Step 5: Solve for x
    x = 17,682.89/114.08
  6. Step 6: Final answer
    x = 155.01

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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.