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Finding the Fourth Proportional to 148.13, 203.53 and 138.65

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Solution

The fourth proportional to 148.13, 203.53 and 138.65 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 203.53 = 138.65 : x
  2. Step 2: Convert to fraction form
    148.13/203.53 = 138.65/x
  3. Step 3: Cross multiply
    148.13x = 203.53 × 138.65
  4. Step 4: Simplify right side
    148.13x = 28,220.38
  5. Step 5: Solve for x
    x = 28,220.38/148.13
  6. Step 6: Final answer
    x = 190.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.