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Finding the Fourth Proportional to 149.18, 222.52 and 130.10

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Solution

The fourth proportional to 149.18, 222.52 and 130.10 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 222.52 = 130.10 : x
  2. Step 2: Convert to fraction form
    149.18/222.52 = 130.10/x
  3. Step 3: Cross multiply
    149.18x = 222.52 × 130.10
  4. Step 4: Simplify right side
    149.18x = 28,949.85
  5. Step 5: Solve for x
    x = 28,949.85/149.18
  6. Step 6: Final answer
    x = 194.06

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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.