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Finding the Fourth Proportional to 148.83, 205.27 and 130.37

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Solution

The fourth proportional to 148.83, 205.27 and 130.37 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.83 : 205.27 = 130.37 : x
  2. Step 2: Convert to fraction form
    148.83/205.27 = 130.37/x
  3. Step 3: Cross multiply
    148.83x = 205.27 × 130.37
  4. Step 4: Simplify right side
    148.83x = 26,761.29
  5. Step 5: Solve for x
    x = 26,761.29/148.83
  6. Step 6: Final answer
    x = 179.82

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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.