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Finding the Fourth Proportional to 148.56, 222.75 and 71.55

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Solution

The fourth proportional to 148.56, 222.75 and 71.55 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 222.75 = 71.55 : x
  2. Step 2: Convert to fraction form
    148.56/222.75 = 71.55/x
  3. Step 3: Cross multiply
    148.56x = 222.75 × 71.55
  4. Step 4: Simplify right side
    148.56x = 15,937.76
  5. Step 5: Solve for x
    x = 15,937.76/148.56
  6. Step 6: Final answer
    x = 107.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.