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Finding the Fourth Proportional to 111.48, 154.50 and 109.77

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Solution

The fourth proportional to 111.48, 154.50 and 109.77 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 154.50 = 109.77 : x
  2. Step 2: Convert to fraction form
    111.48/154.50 = 109.77/x
  3. Step 3: Cross multiply
    111.48x = 154.50 × 109.77
  4. Step 4: Simplify right side
    111.48x = 16,959.65
  5. Step 5: Solve for x
    x = 16,959.65/111.48
  6. Step 6: Final answer
    x = 152.13

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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.