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Finding the Fourth Proportional to 203.72, 280.96 and 148.64

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Solution

The fourth proportional to 203.72, 280.96 and 148.64 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 280.96 = 148.64 : x
  2. Step 2: Convert to fraction form
    203.72/280.96 = 148.64/x
  3. Step 3: Cross multiply
    203.72x = 280.96 × 148.64
  4. Step 4: Simplify right side
    203.72x = 41,761.89
  5. Step 5: Solve for x
    x = 41,761.89/203.72
  6. Step 6: Final answer
    x = 205.00

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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.