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Finding the Fourth Proportional to 148.66, 205.09 and 102.04

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Solution

The fourth proportional to 148.66, 205.09 and 102.04 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 205.09 = 102.04 : x
  2. Step 2: Convert to fraction form
    148.66/205.09 = 102.04/x
  3. Step 3: Cross multiply
    148.66x = 205.09 × 102.04
  4. Step 4: Simplify right side
    148.66x = 20,927.38
  5. Step 5: Solve for x
    x = 20,927.38/148.66
  6. Step 6: Final answer
    x = 140.77

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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.