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Finding the Fourth Proportional to 402.94, 604.61 and 192.10

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Solution

The fourth proportional to 402.94, 604.61 and 192.10 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 604.61 = 192.10 : x
  2. Step 2: Convert to fraction form
    402.94/604.61 = 192.10/x
  3. Step 3: Cross multiply
    402.94x = 604.61 × 192.10
  4. Step 4: Simplify right side
    402.94x = 116,147.74
  5. Step 5: Solve for x
    x = 116,147.74/402.94
  6. Step 6: Final answer
    x = 288.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.