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Finding the Fourth Proportional to 201.45, 302.10 and 71.40

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Solution

The fourth proportional to 201.45, 302.10 and 71.40 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 302.10 = 71.40 : x
  2. Step 2: Convert to fraction form
    201.45/302.10 = 71.40/x
  3. Step 3: Cross multiply
    201.45x = 302.10 × 71.40
  4. Step 4: Simplify right side
    201.45x = 21,569.94
  5. Step 5: Solve for x
    x = 21,569.94/201.45
  6. Step 6: Final answer
    x = 107.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.