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Finding the Fourth Proportional to 153.48, 211.60 and 120.68

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Solution

The fourth proportional to 153.48, 211.60 and 120.68 is: 166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.48 : 211.60 = 120.68 : x
  2. Step 2: Convert to fraction form
    153.48/211.60 = 120.68/x
  3. Step 3: Cross multiply
    153.48x = 211.60 × 120.68
  4. Step 4: Simplify right side
    153.48x = 25,535.89
  5. Step 5: Solve for x
    x = 25,535.89/153.48
  6. Step 6: Final answer
    x = 166.38

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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.