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Finding the Fourth Proportional to 148.38, 204.30 and 130.83

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Solution

The fourth proportional to 148.38, 204.30 and 130.83 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 204.30 = 130.83 : x
  2. Step 2: Convert to fraction form
    148.38/204.30 = 130.83/x
  3. Step 3: Cross multiply
    148.38x = 204.30 × 130.83
  4. Step 4: Simplify right side
    148.38x = 26,728.57
  5. Step 5: Solve for x
    x = 26,728.57/148.38
  6. Step 6: Final answer
    x = 180.14

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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.