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Finding the Fourth Proportional to 308.63, 425.77 and 192.13

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Solution

The fourth proportional to 308.63, 425.77 and 192.13 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 425.77 = 192.13 : x
  2. Step 2: Convert to fraction form
    308.63/425.77 = 192.13/x
  3. Step 3: Cross multiply
    308.63x = 425.77 × 192.13
  4. Step 4: Simplify right side
    308.63x = 81,803.19
  5. Step 5: Solve for x
    x = 81,803.19/308.63
  6. Step 6: Final answer
    x = 265.05

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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.