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Finding the Fourth Proportional to 192.24, 265.41 and 145.53

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Solution

The fourth proportional to 192.24, 265.41 and 145.53 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 265.41 = 145.53 : x
  2. Step 2: Convert to fraction form
    192.24/265.41 = 145.53/x
  3. Step 3: Cross multiply
    192.24x = 265.41 × 145.53
  4. Step 4: Simplify right side
    192.24x = 38,625.12
  5. Step 5: Solve for x
    x = 38,625.12/192.24
  6. Step 6: Final answer
    x = 200.92

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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.