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Finding the Fourth Proportional to 302.73, 417.73 and 192.20

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Solution

The fourth proportional to 302.73, 417.73 and 192.20 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.73 : 417.73 = 192.20 : x
  2. Step 2: Convert to fraction form
    302.73/417.73 = 192.20/x
  3. Step 3: Cross multiply
    302.73x = 417.73 × 192.20
  4. Step 4: Simplify right side
    302.73x = 80,287.71
  5. Step 5: Solve for x
    x = 80,287.71/302.73
  6. Step 6: Final answer
    x = 265.21

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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.