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Finding the Fourth Proportional to 153.34, 211.68 and 120.52

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Solution

The fourth proportional to 153.34, 211.68 and 120.52 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.34 : 211.68 = 120.52 : x
  2. Step 2: Convert to fraction form
    153.34/211.68 = 120.52/x
  3. Step 3: Cross multiply
    153.34x = 211.68 × 120.52
  4. Step 4: Simplify right side
    153.34x = 25,511.67
  5. Step 5: Solve for x
    x = 25,511.67/153.34
  6. Step 6: Final answer
    x = 166.37

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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.