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Finding the Fourth Proportional to 148.02, 203.06 and 138.70

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Solution

The fourth proportional to 148.02, 203.06 and 138.70 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.02 : 203.06 = 138.70 : x
  2. Step 2: Convert to fraction form
    148.02/203.06 = 138.70/x
  3. Step 3: Cross multiply
    148.02x = 203.06 × 138.70
  4. Step 4: Simplify right side
    148.02x = 28,164.42
  5. Step 5: Solve for x
    x = 28,164.42/148.02
  6. Step 6: Final answer
    x = 190.27

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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.