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Finding the Fourth Proportional to 154.80, 213.17 and 111.06

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Solution

The fourth proportional to 154.80, 213.17 and 111.06 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 213.17 = 111.06 : x
  2. Step 2: Convert to fraction form
    154.80/213.17 = 111.06/x
  3. Step 3: Cross multiply
    154.80x = 213.17 × 111.06
  4. Step 4: Simplify right side
    154.80x = 23,674.10
  5. Step 5: Solve for x
    x = 23,674.10/154.80
  6. Step 6: Final answer
    x = 152.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.