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Finding the Fourth Proportional to 263.32, 393.47 and 201.28

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Solution

The fourth proportional to 263.32, 393.47 and 201.28 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 393.47 = 201.28 : x
  2. Step 2: Convert to fraction form
    263.32/393.47 = 201.28/x
  3. Step 3: Cross multiply
    263.32x = 393.47 × 201.28
  4. Step 4: Simplify right side
    263.32x = 79,197.64
  5. Step 5: Solve for x
    x = 79,197.64/263.32
  6. Step 6: Final answer
    x = 300.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.