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Finding the Fourth Proportional to 332.42, 458.78 and 201.42

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Solution

The fourth proportional to 332.42, 458.78 and 201.42 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.42 : 458.78 = 201.42 : x
  2. Step 2: Convert to fraction form
    332.42/458.78 = 201.42/x
  3. Step 3: Cross multiply
    332.42x = 458.78 × 201.42
  4. Step 4: Simplify right side
    332.42x = 92,406.46
  5. Step 5: Solve for x
    x = 92,406.46/332.42
  6. Step 6: Final answer
    x = 277.99

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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.