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Finding the Fourth Proportional to 111.03, 152.08 and 110.72

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Solution

The fourth proportional to 111.03, 152.08 and 110.72 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.03 : 152.08 = 110.72 : x
  2. Step 2: Convert to fraction form
    111.03/152.08 = 110.72/x
  3. Step 3: Cross multiply
    111.03x = 152.08 × 110.72
  4. Step 4: Simplify right side
    111.03x = 16,838.30
  5. Step 5: Solve for x
    x = 16,838.30/111.03
  6. Step 6: Final answer
    x = 151.66

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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.