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Finding the Fourth Proportional to 148.93, 222.10 and 130.75

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Solution

The fourth proportional to 148.93, 222.10 and 130.75 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 222.10 = 130.75 : x
  2. Step 2: Convert to fraction form
    148.93/222.10 = 130.75/x
  3. Step 3: Cross multiply
    148.93x = 222.10 × 130.75
  4. Step 4: Simplify right side
    148.93x = 29,038.69
  5. Step 5: Solve for x
    x = 29,038.69/148.93
  6. Step 6: Final answer
    x = 194.99

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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.