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Finding the Fourth Proportional to 153, 210.92 and 111.59

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Solution

The fourth proportional to 153, 210.92 and 111.59 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 210.92 = 111.59 : x
  2. Step 2: Convert to fraction form
    153/210.92 = 111.59/x
  3. Step 3: Cross multiply
    153x = 210.92 × 111.59
  4. Step 4: Simplify right side
    153x = 23,535.79
  5. Step 5: Solve for x
    x = 23,535.79/153
  6. Step 6: Final answer
    x = 153.83

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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.