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Finding the Fourth Proportional to 192.40, 265.90 and 145.76

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Solution

The fourth proportional to 192.40, 265.90 and 145.76 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 265.90 = 145.76 : x
  2. Step 2: Convert to fraction form
    192.40/265.90 = 145.76/x
  3. Step 3: Cross multiply
    192.40x = 265.90 × 145.76
  4. Step 4: Simplify right side
    192.40x = 38,757.58
  5. Step 5: Solve for x
    x = 38,757.58/192.40
  6. Step 6: Final answer
    x = 201.44

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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.