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Finding the Fourth Proportional to 192.47, 265.51 and 145.84

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Solution

The fourth proportional to 192.47, 265.51 and 145.84 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.47 : 265.51 = 145.84 : x
  2. Step 2: Convert to fraction form
    192.47/265.51 = 145.84/x
  3. Step 3: Cross multiply
    192.47x = 265.51 × 145.84
  4. Step 4: Simplify right side
    192.47x = 38,721.98
  5. Step 5: Solve for x
    x = 38,721.98/192.47
  6. Step 6: Final answer
    x = 201.18

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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.