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Finding the Fourth Proportional to 149.61, 223.59 and 120.40

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Solution

The fourth proportional to 149.61, 223.59 and 120.40 is: 179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.61 : 223.59 = 120.40 : x
  2. Step 2: Convert to fraction form
    149.61/223.59 = 120.40/x
  3. Step 3: Cross multiply
    149.61x = 223.59 × 120.40
  4. Step 4: Simplify right side
    149.61x = 26,920.24
  5. Step 5: Solve for x
    x = 26,920.24/149.61
  6. Step 6: Final answer
    x = 179.94

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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.