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Finding the Fourth Proportional to 148.64, 203.24 and 146.27

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Solution

The fourth proportional to 148.64, 203.24 and 146.27 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 203.24 = 146.27 : x
  2. Step 2: Convert to fraction form
    148.64/203.24 = 146.27/x
  3. Step 3: Cross multiply
    148.64x = 203.24 × 146.27
  4. Step 4: Simplify right side
    148.64x = 29,728.79
  5. Step 5: Solve for x
    x = 29,728.79/148.64
  6. Step 6: Final answer
    x = 200.01

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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.