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Finding the Fourth Proportional to 288.50, 397.51 and 201.02

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Solution

The fourth proportional to 288.50, 397.51 and 201.02 is: 276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 397.51 = 201.02 : x
  2. Step 2: Convert to fraction form
    288.50/397.51 = 201.02/x
  3. Step 3: Cross multiply
    288.50x = 397.51 × 201.02
  4. Step 4: Simplify right side
    288.50x = 79,904.97
  5. Step 5: Solve for x
    x = 79,904.97/288.50
  6. Step 6: Final answer
    x = 276.97

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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.