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Finding the Fourth Proportional to 148.88, 222.25 and 130.66

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Solution

The fourth proportional to 148.88, 222.25 and 130.66 is: 195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 222.25 = 130.66 : x
  2. Step 2: Convert to fraction form
    148.88/222.25 = 130.66/x
  3. Step 3: Cross multiply
    148.88x = 222.25 × 130.66
  4. Step 4: Simplify right side
    148.88x = 29,039.19
  5. Step 5: Solve for x
    x = 29,039.19/148.88
  6. Step 6: Final answer
    x = 195.05

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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.