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Finding the Fourth Proportional to 152.73, 210.78 and 120.09

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Solution

The fourth proportional to 152.73, 210.78 and 120.09 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 210.78 = 120.09 : x
  2. Step 2: Convert to fraction form
    152.73/210.78 = 120.09/x
  3. Step 3: Cross multiply
    152.73x = 210.78 × 120.09
  4. Step 4: Simplify right side
    152.73x = 25,312.57
  5. Step 5: Solve for x
    x = 25,312.57/152.73
  6. Step 6: Final answer
    x = 165.73

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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.