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Finding the Fourth Proportional to 153.71, 212.44 and 120.90

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Solution

The fourth proportional to 153.71, 212.44 and 120.90 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 212.44 = 120.90 : x
  2. Step 2: Convert to fraction form
    153.71/212.44 = 120.90/x
  3. Step 3: Cross multiply
    153.71x = 212.44 × 120.90
  4. Step 4: Simplify right side
    153.71x = 25,684.00
  5. Step 5: Solve for x
    x = 25,684.00/153.71
  6. Step 6: Final answer
    x = 167.10

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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.