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Finding the Fourth Proportional to 148.22, 203.10 and 141.84

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Solution

The fourth proportional to 148.22, 203.10 and 141.84 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.22 : 203.10 = 141.84 : x
  2. Step 2: Convert to fraction form
    148.22/203.10 = 141.84/x
  3. Step 3: Cross multiply
    148.22x = 203.10 × 141.84
  4. Step 4: Simplify right side
    148.22x = 28,807.70
  5. Step 5: Solve for x
    x = 28,807.70/148.22
  6. Step 6: Final answer
    x = 194.36

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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.