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Finding the Fourth Proportional to 204.24, 307.80 and 192.08

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Solution

The fourth proportional to 204.24, 307.80 and 192.08 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 307.80 = 192.08 : x
  2. Step 2: Convert to fraction form
    204.24/307.80 = 192.08/x
  3. Step 3: Cross multiply
    204.24x = 307.80 × 192.08
  4. Step 4: Simplify right side
    204.24x = 59,122.22
  5. Step 5: Solve for x
    x = 59,122.22/204.24
  6. Step 6: Final answer
    x = 289.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.