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Finding the Fourth Proportional to 301.24, 415.50 and 201.70

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Solution

The fourth proportional to 301.24, 415.50 and 201.70 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 415.50 = 201.70 : x
  2. Step 2: Convert to fraction form
    301.24/415.50 = 201.70/x
  3. Step 3: Cross multiply
    301.24x = 415.50 × 201.70
  4. Step 4: Simplify right side
    301.24x = 83,806.35
  5. Step 5: Solve for x
    x = 83,806.35/301.24
  6. Step 6: Final answer
    x = 278.20

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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.