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Finding the Fourth Proportional to 148.76, 205.04 and 102.06

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Solution

The fourth proportional to 148.76, 205.04 and 102.06 is: 140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.76 : 205.04 = 102.06 : x
  2. Step 2: Convert to fraction form
    148.76/205.04 = 102.06/x
  3. Step 3: Cross multiply
    148.76x = 205.04 × 102.06
  4. Step 4: Simplify right side
    148.76x = 20,924.85
  5. Step 5: Solve for x
    x = 20,924.85/148.76
  6. Step 6: Final answer
    x = 140.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.