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Finding the Fourth Proportional to 120.57, 180.09 and 102.36

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Solution

The fourth proportional to 120.57, 180.09 and 102.36 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.09 = 102.36 : x
  2. Step 2: Convert to fraction form
    120.57/180.09 = 102.36/x
  3. Step 3: Cross multiply
    120.57x = 180.09 × 102.36
  4. Step 4: Simplify right side
    120.57x = 18,434.01
  5. Step 5: Solve for x
    x = 18,434.01/120.57
  6. Step 6: Final answer
    x = 152.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.