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Finding the Fourth Proportional to 203.08, 302.68 and 192.04

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Solution

The fourth proportional to 203.08, 302.68 and 192.04 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.08 : 302.68 = 192.04 : x
  2. Step 2: Convert to fraction form
    203.08/302.68 = 192.04/x
  3. Step 3: Cross multiply
    203.08x = 302.68 × 192.04
  4. Step 4: Simplify right side
    203.08x = 58,126.67
  5. Step 5: Solve for x
    x = 58,126.67/203.08
  6. Step 6: Final answer
    x = 286.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.