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Finding the Fourth Proportional to 192.81, 266.13 and 115.23

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Solution

The fourth proportional to 192.81, 266.13 and 115.23 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.81 : 266.13 = 115.23 : x
  2. Step 2: Convert to fraction form
    192.81/266.13 = 115.23/x
  3. Step 3: Cross multiply
    192.81x = 266.13 × 115.23
  4. Step 4: Simplify right side
    192.81x = 30,666.16
  5. Step 5: Solve for x
    x = 30,666.16/192.81
  6. Step 6: Final answer
    x = 159.05

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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.