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Finding the Fourth Proportional to 201.68, 302.44 and 93.32

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Solution

The fourth proportional to 201.68, 302.44 and 93.32 is: 139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 302.44 = 93.32 : x
  2. Step 2: Convert to fraction form
    201.68/302.44 = 93.32/x
  3. Step 3: Cross multiply
    201.68x = 302.44 × 93.32
  4. Step 4: Simplify right side
    201.68x = 28,223.70
  5. Step 5: Solve for x
    x = 28,223.70/201.68
  6. Step 6: Final answer
    x = 139.94

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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.